Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258bf |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
1764474756 = 22 · 3 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-547,4445] |
[a1,a2,a3,a4,a6] |
Generators |
[29546:167867:4913] |
Generators of the group modulo torsion |
j |
10218313/996 |
j-invariant |
L |
11.961570171848 |
L(r)(E,1)/r! |
Ω |
1.4479510577253 |
Real period |
R |
8.2610321033007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
498a1 |
Quadratic twists by: -11 |