Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450y |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
162570240 |
Modular degree for the optimal curve |
Δ |
-7.3815271951946E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20486996442,-1128661918686284] |
[a1,a2,a3,a4,a6] |
Generators |
[30373511406622423208915959469797438805159150132098893572402409667609622679671440312919862786490458990933943063699769804325917019902566345442643645238:13334443395976245242750175209775910737348284253135123841424517976559642268311692189950555952301594068678001426511403463200378848632827398413315033515381:108267317676558270478094373987289922251695469547199304165791329843086963268096023523932246479232342947676666598458737555870375838691122194364232] |
Generators of the group modulo torsion |
j |
-83485496408692606522088834521/64803530931750000000 |
j-invariant |
L |
5.7962429828594 |
L(r)(E,1)/r! |
Ω |
0.0063095729476891 |
Real period |
R |
229.6606692289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150bg1 19890w1 |
Quadratic twists by: -3 5 |