Atkin-Lehner |
2+ 7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60088b |
Isogeny class |
Conductor |
60088 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-14138586224 = -1 · 24 · 77 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271,-5973] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1029:1] |
Generators of the group modulo torsion |
j |
-137566156032/883661639 |
j-invariant |
L |
7.8447244252146 |
L(r)(E,1)/r! |
Ω |
0.52444624510483 |
Real period |
R |
1.0684364015687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120176d1 |
Quadratic twists by: -4 |