Atkin-Lehner |
3+ 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80475f |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-1134688698046875 = -1 · 3 · 58 · 294 · 372 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 0 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-76083,8263943] |
[a1,a2,a3,a4,a6] |
Generators |
[-1814:29721:8] [143:-537:1] |
Generators of the group modulo torsion |
j |
-124690185748480/2904803067 |
j-invariant |
L |
7.0337569022831 |
L(r)(E,1)/r! |
Ω |
0.48814090399494 |
Real period |
R |
0.60038649058727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80475i1 |
Quadratic twists by: 5 |