Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130bc |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-356751360 = -1 · 211 · 32 · 5 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89,956] |
[a1,a2,a3,a4,a6] |
Generators |
[6:22:1] |
Generators of the group modulo torsion |
j |
-1565539801/7280640 |
j-invariant |
L |
6.3951940519718 |
L(r)(E,1)/r! |
Ω |
1.4786400099311 |
Real period |
R |
2.1625256947795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130n1 |
Quadratic twists by: -7 |