Atkin-Lehner |
3+ 11- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33231b |
Isogeny class |
Conductor |
33231 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9152 |
Modular degree for the optimal curve |
Δ |
365541 = 3 · 112 · 19 · 53 |
Discriminant |
Eigenvalues |
1 3+ 3 -3 11- -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-231,-1452] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:41:8] |
Generators of the group modulo torsion |
j |
1372441819897/365541 |
j-invariant |
L |
5.5335496992654 |
L(r)(E,1)/r! |
Ω |
1.2239367549708 |
Real period |
R |
2.2605537732207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99693b1 |
Quadratic twists by: -3 |