Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53724i |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.3791834727218E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1647697,585507272] |
[a1,a2,a3,a4,a6] |
j |
17453395699253248/4865706969453 |
j-invariant |
L |
4.1193920281855 |
L(r)(E,1)/r! |
Ω |
0.17164133457461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4884d1 |
Quadratic twists by: -11 |