Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960r |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-2.1758764393279E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117647056,-491168347200] |
[a1,a2,a3,a4,a6] |
Generators |
[510912102395093994:-82987770159521468865:16624328536648] |
Generators of the group modulo torsion |
j |
-7626453723007966609/921488588800 |
j-invariant |
L |
7.7833201391205 |
L(r)(E,1)/r! |
Ω |
0.022920344687898 |
Real period |
R |
28.298440552503 |
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 |
6370k1 50960bw1 |
Quadratic twists by: -4 -7 |