Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830bg |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-80341632000000 = -1 · 213 · 37 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8608,300291] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:-351:1] |
Generators of the group modulo torsion |
j |
96772120393031/110208000000 |
j-invariant |
L |
8.467580144389 |
L(r)(E,1)/r! |
Ω |
0.40582372672911 |
Real period |
R |
0.066875537733357 |
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 |
8610b1 129150bo1 |
Quadratic twists by: -3 5 |