Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080cb |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
51658718760000 = 26 · 36 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27386,1700664] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1452:1] [-44:1680:1] |
Generators of the group modulo torsion |
j |
20034997696/455625 |
j-invariant |
L |
10.00635584841 |
L(r)(E,1)/r! |
Ω |
0.63135099095958 |
Real period |
R |
2.6415195328986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58080f1 116160cl2 480d1 |
Quadratic twists by: -4 8 -11 |