Atkin-Lehner |
3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265a |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-499568061271021875 = -1 · 37 · 55 · 119 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1836941,-958267828] |
[a1,a2,a3,a4,a6] |
Generators |
[321877504:25017030743:50653] |
Generators of the group modulo torsion |
j |
-386948760982257664/281993146875 |
j-invariant |
L |
3.085890379387 |
L(r)(E,1)/r! |
Ω |
0.064837573953499 |
Real period |
R |
11.898541968994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5115a1 |
Quadratic twists by: -11 |