Atkin-Lehner |
2- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15128c |
Isogeny class |
Conductor |
15128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-60027904 = -1 · 210 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 0 -1 1 3 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,1174] |
[a1,a2,a3,a4,a6] |
Generators |
[27:124:1] |
Generators of the group modulo torsion |
j |
-903466116/58621 |
j-invariant |
L |
4.4601599021876 |
L(r)(E,1)/r! |
Ω |
1.9431780803303 |
Real period |
R |
0.57382284559188 |
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 |
30256a1 121024m1 |
Quadratic twists by: -4 8 |