Atkin-Lehner |
2+ 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89488b |
Isogeny class |
Conductor |
89488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
5727232 = 210 · 7 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1867,31050] |
[a1,a2,a3,a4,a6] |
Generators |
[27:18:1] [43:174:1] |
Generators of the group modulo torsion |
j |
702840387204/5593 |
j-invariant |
L |
7.8105018028077 |
L(r)(E,1)/r! |
Ω |
2.155718883597 |
Real period |
R |
3.6231541424461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44744a1 |
Quadratic twists by: -4 |