Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53650j |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39552 |
Modular degree for the optimal curve |
Δ |
-2616939700 = -1 · 22 · 52 · 294 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 4 -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-233,2797] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:65:1] |
Generators of the group modulo torsion |
j |
-55971630265/104677588 |
j-invariant |
L |
4.6146274824686 |
L(r)(E,1)/r! |
Ω |
1.2861064873187 |
Real period |
R |
0.44850752327831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53650f1 |
Quadratic twists by: 5 |