Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37975b |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-69808137109375 = -1 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13501,-726477] |
[a1,a2,a3,a4,a6] |
j |
-148035889/37975 |
j-invariant |
L |
0.8740501639999 |
L(r)(E,1)/r! |
Ω |
0.21851254100428 |
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 |
7595g1 5425b1 |
Quadratic twists by: 5 -7 |