Atkin-Lehner |
2- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
7810c |
Isogeny class |
Conductor |
7810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3930650968750 = 2 · 56 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14856,-691630] |
[a1,a2,a3,a4,a6] |
Generators |
[-14430:20525:216] |
Generators of the group modulo torsion |
j |
362602848466723969/3930650968750 |
j-invariant |
L |
6.6805116350579 |
L(r)(E,1)/r! |
Ω |
0.43272138247213 |
Real period |
R |
3.8595918214696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62480k2 70290g2 39050d2 85910b2 |
Quadratic twists by: -4 -3 5 -11 |