Atkin-Lehner |
2+ 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29574c |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25984 |
Modular degree for the optimal curve |
Δ |
-148520628 = -1 · 22 · 36 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 2 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5937,177569] |
[a1,a2,a3,a4,a6] |
Generators |
[50:37:1] |
Generators of the group modulo torsion |
j |
-31749616004625/203732 |
j-invariant |
L |
4.8197789767226 |
L(r)(E,1)/r! |
Ω |
1.6329243968049 |
Real period |
R |
0.73790602096358 |
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 |
3286e1 |
Quadratic twists by: -3 |