Atkin-Lehner |
3- 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
23331c |
Isogeny class |
Conductor |
23331 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
475398965349 = 38 · 72 · 114 · 101 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- 7 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2695,41533] |
[a1,a2,a3,a4,a6] |
Generators |
[11:115:1] |
Generators of the group modulo torsion |
j |
2165514813669376/475398965349 |
j-invariant |
L |
5.9261496142342 |
L(r)(E,1)/r! |
Ω |
0.88161806920353 |
Real period |
R |
0.10502970725868 |
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 |
69993c1 |
Quadratic twists by: -3 |