Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37975h |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-284931171875 = -1 · 57 · 76 · 31 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -4 -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1633,-35582] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-613:1] |
Generators of the group modulo torsion |
j |
-262144/155 |
j-invariant |
L |
2.0881945116898 |
L(r)(E,1)/r! |
Ω |
0.36557811658615 |
Real period |
R |
0.71400420900114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7595i1 775a1 |
Quadratic twists by: 5 -7 |