Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5060f |
Isogeny class |
Conductor |
5060 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-230032343750000 = -1 · 24 · 510 · 112 · 233 |
Discriminant |
Eigenvalues |
2- -1 5- 0 11- 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31690,-2280163] |
[a1,a2,a3,a4,a6] |
Generators |
[379:6325:1] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
3.3661786374646 |
L(r)(E,1)/r! |
Ω |
0.17823837212918 |
Real period |
R |
0.31476374374883 |
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 |
20240s1 80960g1 45540g1 25300f1 |
Quadratic twists by: -4 8 -3 5 |