Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720cc |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
4274688000 = 212 · 3 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2816,-58380] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1056:1] |
Generators of the group modulo torsion |
j |
603136942849/1043625 |
j-invariant |
L |
4.7062052885753 |
L(r)(E,1)/r! |
Ω |
0.65542602002464 |
Real period |
R |
3.5901880185756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795b1 |
Quadratic twists by: -4 |