Atkin-Lehner |
2+ 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130a |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-2185102080000000 = -1 · 214 · 32 · 57 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6248,-2259648] |
[a1,a2,a3,a4,a6] |
Generators |
[272:3896:1] |
Generators of the group modulo torsion |
j |
-11237332168489/910080000000 |
j-invariant |
L |
3.9798227374517 |
L(r)(E,1)/r! |
Ω |
0.20425227700724 |
Real period |
R |
1.6237365705638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130bo1 |
Quadratic twists by: -7 |