Atkin-Lehner |
2- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
7810c |
Isogeny class |
Conductor |
7810 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
8661446200 = 23 · 52 · 112 · 713 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1366,18796] |
[a1,a2,a3,a4,a6] |
Generators |
[18:2:1] |
Generators of the group modulo torsion |
j |
281900392615009/8661446200 |
j-invariant |
L |
6.6805116350579 |
L(r)(E,1)/r! |
Ω |
1.2981641474164 |
Real period |
R |
1.2865306071565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62480k1 70290g1 39050d1 85910b1 |
Quadratic twists by: -4 -3 5 -11 |