Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
25620f |
Isogeny class |
Conductor |
25620 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
3936871680 = 28 · 3 · 5 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,-4665] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:30:1] |
Generators of the group modulo torsion |
j |
84871020544/15378405 |
j-invariant |
L |
6.1078297534449 |
L(r)(E,1)/r! |
Ω |
0.98440659874214 |
Real period |
R |
2.0681934210415 |
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 |
102480bc1 76860g1 128100g1 |
Quadratic twists by: -4 -3 5 |