Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bj |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
23460000000 = 28 · 3 · 57 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3188,-70219] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:17:1] |
Generators of the group modulo torsion |
j |
229333309561/1501440 |
j-invariant |
L |
4.9210074896336 |
L(r)(E,1)/r! |
Ω |
0.63560978936724 |
Real period |
R |
1.9355458223325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730g1 |
Quadratic twists by: 5 |