Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560f |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2870635600 = 24 · 52 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1078,13377] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:147:1] |
Generators of the group modulo torsion |
j |
73598976/1525 |
j-invariant |
L |
4.6556226921858 |
L(r)(E,1)/r! |
Ω |
1.4298095329648 |
Real period |
R |
1.6280569487535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2440a1 |
Quadratic twists by: -7 |