Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25300p |
Isogeny class |
Conductor |
25300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
13383700000000 = 28 · 58 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11- 6 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6333,-79463] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:299:1] |
Generators of the group modulo torsion |
j |
280944640/133837 |
j-invariant |
L |
3.9178050220405 |
L(r)(E,1)/r! |
Ω |
0.56089312589607 |
Real period |
R |
2.3283134469878 |
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 |
101200cc1 25300g1 |
Quadratic twists by: -4 5 |