Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bw |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-184946445726515200 = -1 · 236 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2400960,1431291700] |
[a1,a2,a3,a4,a6] |
j |
-7626453723007966609/921488588800 |
j-invariant |
L |
1.229896246852 |
L(r)(E,1)/r! |
Ω |
0.30747406162493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370w1 50960r1 |
Quadratic twists by: -4 -7 |