Atkin-Lehner |
3+ 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807l |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1214976 |
Modular degree for the optimal curve |
Δ |
15921873053747199 = 38 · 710 · 112 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-444235,-113987182] |
[a1,a2,a3,a4,a6] |
j |
34322719430209/56365551 |
j-invariant |
L |
0.73977409681409 |
L(r)(E,1)/r! |
Ω |
0.18494355164701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807o1 |
Quadratic twists by: -7 |