Atkin-Lehner |
2- 3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
32232c |
Isogeny class |
Conductor |
32232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1031424 = 28 · 3 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 4 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,13] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
7023616/4029 |
j-invariant |
L |
4.9774092508954 |
L(r)(E,1)/r! |
Ω |
2.367858290462 |
Real period |
R |
1.0510361348365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64464a1 96696b1 |
Quadratic twists by: -4 -3 |