Atkin-Lehner |
2- 3+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7998d |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-7870543872 = -1 · 211 · 3 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,492,-555] |
[a1,a2,a3,a4,a6] |
Generators |
[3:29:1] |
Generators of the group modulo torsion |
j |
13169335133375/7870543872 |
j-invariant |
L |
5.8567530092857 |
L(r)(E,1)/r! |
Ω |
0.76702167627443 |
Real period |
R |
0.23138506955864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984y1 23994i1 |
Quadratic twists by: -4 -3 |