Atkin-Lehner |
3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275f |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3236285390625 = 35 · 57 · 74 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45338,-3733594] |
[a1,a2,a3,a4,a6] |
j |
659616269778649/207122265 |
j-invariant |
L |
0.65436806252499 |
L(r)(E,1)/r! |
Ω |
0.32718403127344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825f1 7455d1 |
Quadratic twists by: -3 5 |