Atkin-Lehner |
2- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4418b |
Isogeny class |
Conductor |
4418 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
45120 |
Modular degree for the optimal curve |
Δ |
-24382757541643264 = -1 · 210 · 478 |
Discriminant |
Eigenvalues |
2- 0 3 0 -4 -1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-240091,-45839477] |
[a1,a2,a3,a4,a6] |
Generators |
[1657:63232:1] |
Generators of the group modulo torsion |
j |
-64278657/1024 |
j-invariant |
L |
5.8607123430576 |
L(r)(E,1)/r! |
Ω |
0.10773696538327 |
Real period |
R |
1.8132780834039 |
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 |
35344b1 39762n1 110450c1 4418c1 |
Quadratic twists by: -4 -3 5 -47 |