Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430x |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
44871384702182400 = 210 · 32 · 52 · 417 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-102576,7476480] |
[a1,a2,a3,a4,a6] |
Generators |
[386:4850:1] |
Generators of the group modulo torsion |
j |
25128011089/9446400 |
j-invariant |
L |
11.649707340464 |
L(r)(E,1)/r! |
Ω |
0.32840661813647 |
Real period |
R |
0.88683560996171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230e1 |
Quadratic twists by: 41 |