Atkin-Lehner |
3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635q |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
5473035524976525 = 36 · 52 · 114 · 295 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-326861,71730170] |
[a1,a2,a3,a4,a6] |
Generators |
[-578:8239:1] [-356:11962:1] |
Generators of the group modulo torsion |
j |
263781063772340224/373815690525 |
j-invariant |
L |
8.8967858930393 |
L(r)(E,1)/r! |
Ω |
0.42795519385635 |
Real period |
R |
0.11549477376188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52635l1 |
Quadratic twists by: -11 |