Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600t |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1254791250000 = 24 · 310 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516450,-142853375] |
[a1,a2,a3,a4,a6] |
Generators |
[3920:240975:1] |
Generators of the group modulo torsion |
j |
83587439220736/6885 |
j-invariant |
L |
5.4408438953852 |
L(r)(E,1)/r! |
Ω |
0.17809121071692 |
Real period |
R |
3.8188604827006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200bq1 10200bg1 6120r1 |
Quadratic twists by: -4 -3 5 |