Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200ed |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-2926264320000000000 = -1 · 223 · 36 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-646875,216506250] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:16534:1] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
5.0833867324583 |
L(r)(E,1)/r! |
Ω |
0.24784027282369 |
Real period |
R |
5.1276843292479 |
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 |
3150bn1 100800mn1 2800r1 25200fv1 |
Quadratic twists by: -4 8 -3 5 |