Atkin-Lehner |
3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25773h |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
5084536514780349 = 36 · 117 · 713 |
Discriminant |
Eigenvalues |
2 3+ 1 5 11- -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-54490,-3474615] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:8587:8] |
Generators of the group modulo torsion |
j |
10100107472896/2870088309 |
j-invariant |
L |
11.439452495295 |
L(r)(E,1)/r! |
Ω |
0.31922577104703 |
Real period |
R |
1.4931246070996 |
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 |
77319r1 2343e1 |
Quadratic twists by: -3 -11 |