Atkin-Lehner |
2- 3- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15252c |
Isogeny class |
Conductor |
15252 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
79066368 = 28 · 35 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-997,11783] |
[a1,a2,a3,a4,a6] |
Generators |
[17:6:1] |
Generators of the group modulo torsion |
j |
428553207808/308853 |
j-invariant |
L |
5.9752864626838 |
L(r)(E,1)/r! |
Ω |
1.912296818311 |
Real period |
R |
0.20831098343689 |
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 |
61008f1 45756d1 |
Quadratic twists by: -4 -3 |