Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925y |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-14474625 = -1 · 3 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59,53] |
[a1,a2,a3,a4,a6] |
j |
186169411/115797 |
j-invariant |
L |
2.7510450582997 |
L(r)(E,1)/r! |
Ω |
1.3755225291498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775bz1 23925m1 |
Quadratic twists by: -3 5 |