Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103090k |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
9421931168000 = 28 · 53 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27748,1779847] |
[a1,a2,a3,a4,a6] |
Generators |
[37:877:1] |
Generators of the group modulo torsion |
j |
489490178841/1952000 |
j-invariant |
L |
9.8147038424165 |
L(r)(E,1)/r! |
Ω |
0.73191982277649 |
Real period |
R |
3.3523835222499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
610b1 |
Quadratic twists by: 13 |