Atkin-Lehner |
5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7525b |
Isogeny class |
Conductor |
7525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-49547421875 = -1 · 57 · 73 · 432 |
Discriminant |
Eigenvalues |
2 -1 5+ 7+ -3 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,-10707] |
[a1,a2,a3,a4,a6] |
j |
-4096/3171035 |
j-invariant |
L |
2.065535768277 |
L(r)(E,1)/r! |
Ω |
0.51638394206925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400bj1 67725s1 1505b1 52675i1 |
Quadratic twists by: -4 -3 5 -7 |