Atkin-Lehner |
2+ 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314g |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-202577436 = -1 · 22 · 39 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 4 1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69,737] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:31:1] |
Generators of the group modulo torsion |
j |
-1860867/10292 |
j-invariant |
L |
5.1300725450444 |
L(r)(E,1)/r! |
Ω |
1.5430423509065 |
Real period |
R |
0.83116198042826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46314u1 |
Quadratic twists by: -3 |