Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275i |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1278720 |
Modular degree for the optimal curve |
Δ |
-1699049830078125 = -1 · 36 · 59 · 75 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -5 0 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19583213,33354373542] |
[a1,a2,a3,a4,a6] |
Generators |
[2557:-1466:1] |
Generators of the group modulo torsion |
j |
-53156396270339108473609/108739189125 |
j-invariant |
L |
3.1842491686866 |
L(r)(E,1)/r! |
Ω |
0.30743127199104 |
Real period |
R |
0.43156653464677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825g1 7455a1 |
Quadratic twists by: -3 5 |