Atkin-Lehner |
2- 7- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29036h |
Isogeny class |
Conductor |
29036 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
4461787904 = 28 · 75 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 7- 6 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-460,2184] |
[a1,a2,a3,a4,a6] |
j |
42140629456/17428859 |
j-invariant |
L |
6.2416016679815 |
L(r)(E,1)/r! |
Ω |
1.2483203335963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116144n1 |
Quadratic twists by: -4 |