Atkin-Lehner |
5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38525b |
Isogeny class |
Conductor |
38525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
1008271484375 = 510 · 23 · 672 |
Discriminant |
Eigenvalues |
-1 -2 5+ 3 3 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2513,-4358] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:212:1] |
Generators of the group modulo torsion |
j |
179726425/103247 |
j-invariant |
L |
2.8825097713479 |
L(r)(E,1)/r! |
Ω |
0.73266433262356 |
Real period |
R |
1.9671421434081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38525f1 |
Quadratic twists by: 5 |