Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bt |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
11335039966250000 = 24 · 57 · 78 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84130,-7851503] |
[a1,a2,a3,a4,a6] |
j |
4214552938238889/725442557840 |
j-invariant |
L |
4.5379120670224 |
L(r)(E,1)/r! |
Ω |
0.28361950420278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010a1 |
Quadratic twists by: 5 |