Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5733h |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-30976921816659 = -1 · 310 · 79 · 13 |
Discriminant |
Eigenvalues |
2 3- -1 7- 2 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11613,551115] |
[a1,a2,a3,a4,a6] |
Generators |
[322:3083:8] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
7.1159936113724 |
L(r)(E,1)/r! |
Ω |
0.63421533943068 |
Real period |
R |
1.4025192172426 |
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 |
91728ec1 1911g1 819f1 74529bh1 |
Quadratic twists by: -4 -3 -7 13 |