Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7540c |
Isogeny class |
Conductor |
7540 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
57680632771840 = 28 · 5 · 133 · 295 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 4 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95248,-11308508] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:58:1] |
Generators of the group modulo torsion |
j |
373294286161772544/225314971765 |
j-invariant |
L |
1.9062048590056 |
L(r)(E,1)/r! |
Ω |
0.27176987987606 |
Real period |
R |
0.4676026791183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30160v1 120640bl1 67860q1 37700g1 |
Quadratic twists by: -4 8 -3 5 |