Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23925w |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
28373159925 = 35 · 52 · 115 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16048,777124] |
[a1,a2,a3,a4,a6] |
Generators |
[586:5:8] |
Generators of the group modulo torsion |
j |
18284096823070720/1134926397 |
j-invariant |
L |
3.024064327053 |
L(r)(E,1)/r! |
Ω |
1.1203125427671 |
Real period |
R |
2.6993041777287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
71775bb1 23925o2 |
Quadratic twists by: -3 5 |