Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390bl |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
5452453440 = 26 · 38 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2363,44651] |
[a1,a2,a3,a4,a6] |
Generators |
[21:52:1] |
Generators of the group modulo torsion |
j |
2000852317801/7479360 |
j-invariant |
L |
7.8907676387461 |
L(r)(E,1)/r! |
Ω |
1.3619853196161 |
Real period |
R |
0.48279813330209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130q1 |
Quadratic twists by: -3 |