Atkin-Lehner |
5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6475c |
Isogeny class |
Conductor |
6475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-17705078125 = -1 · 510 · 72 · 37 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -2 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,612,2906] |
[a1,a2,a3,a4,a6] |
j |
2595575/1813 |
j-invariant |
L |
1.5552572298268 |
L(r)(E,1)/r! |
Ω |
0.77762861491341 |
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 |
103600bh1 58275p1 6475f1 45325f1 |
Quadratic twists by: -4 -3 5 -7 |