Atkin-Lehner |
2+ 3+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130o |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-3279018808800000 = -1 · 28 · 32 · 55 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1264862,547016436] |
[a1,a2,a3,a4,a6] |
Generators |
[412:9594:1] |
Generators of the group modulo torsion |
j |
-38821236545135401/568800000 |
j-invariant |
L |
5.0880019232502 |
L(r)(E,1)/r! |
Ω |
0.40870888357838 |
Real period |
R |
0.20748272485314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999077411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130bf1 |
Quadratic twists by: -7 |