Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712b |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31621429426356224 = 215 · 7 · 1310 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88556,-5448560] |
[a1,a2,a3,a4,a6] |
Generators |
[-30880:145332:125] |
Generators of the group modulo torsion |
j |
485587656/199927 |
j-invariant |
L |
4.7848212890463 |
L(r)(E,1)/r! |
Ω |
0.28696208552097 |
Real period |
R |
8.3370269613404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712ba3 37856a3 5824h3 |
Quadratic twists by: -4 8 13 |