Atkin-Lehner |
2+ 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31080g |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
62197590949200 = 24 · 36 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225575,41310300] |
[a1,a2,a3,a4,a6] |
j |
79337507589321005056/3887349434325 |
j-invariant |
L |
2.3473604271962 |
L(r)(E,1)/r! |
Ω |
0.58684010679815 |
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 |
62160bb1 93240bu1 |
Quadratic twists by: -4 -3 |