Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900c |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-68096508940000000 = -1 · 28 · 57 · 237 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -6 -6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105800,18250500] |
[a1,a2,a3,a4,a6] |
Generators |
[920:26450:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
3.6180953429715 |
L(r)(E,1)/r! |
Ω |
0.3232856786498 |
Real period |
R |
0.46631812845984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580g1 2300c1 |
Quadratic twists by: 5 -23 |