Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29260k |
Isogeny class |
Conductor |
29260 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
3028878979280 = 24 · 5 · 74 · 112 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5325,-125720] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3724:1] |
Generators of the group modulo torsion |
j |
1043864482349056/189304936205 |
j-invariant |
L |
3.4230324274571 |
L(r)(E,1)/r! |
Ω |
0.56584742425673 |
Real period |
R |
1.5123477993884 |
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 |
117040ck1 |
Quadratic twists by: -4 |