Atkin-Lehner |
3+ 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807d |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-43061174562483 = -1 · 35 · 74 · 114 · 712 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 11- 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-62393,6027776] |
[a1,a2,a3,a4,a6] |
Generators |
[84:1171:1] |
Generators of the group modulo torsion |
j |
-11187836649472000/17934683283 |
j-invariant |
L |
5.0309808825311 |
L(r)(E,1)/r! |
Ω |
0.64151267673273 |
Real period |
R |
0.9802964702319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807x1 |
Quadratic twists by: -7 |