Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
106200s |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-69677820000000000 = -1 · 211 · 310 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91875,16618750] |
[a1,a2,a3,a4,a6] |
Generators |
[98090:2924127:1000] |
Generators of the group modulo torsion |
j |
-5882450/4779 |
j-invariant |
L |
5.9497463947673 |
L(r)(E,1)/r! |
Ω |
0.31792429203263 |
Real period |
R |
9.3571748262247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400n1 106200bo1 |
Quadratic twists by: -3 5 |