Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23925v |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
271025390625 = 3 · 510 · 11 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10501,412523] |
[a1,a2,a3,a4,a6] |
Generators |
[-17094:195431:216] |
Generators of the group modulo torsion |
j |
8194759433281/17345625 |
j-invariant |
L |
6.7752010434589 |
L(r)(E,1)/r! |
Ω |
0.98073417359106 |
Real period |
R |
6.9082950568051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71775ba1 4785b1 |
Quadratic twists by: -3 5 |