Atkin-Lehner |
3- 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807m |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
327936 |
Modular degree for the optimal curve |
Δ |
53933166470799 = 32 · 78 · 114 · 71 |
Discriminant |
Eigenvalues |
1 3- -3 7+ 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12570,-412583] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:386:1] |
Generators of the group modulo torsion |
j |
38097419353/9355599 |
j-invariant |
L |
8.4831295420111 |
L(r)(E,1)/r! |
Ω |
0.45897571272103 |
Real period |
R |
4.6206854428078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807g1 |
Quadratic twists by: -7 |