Atkin-Lehner |
2- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79120j |
Isogeny class |
Conductor |
79120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-324075520000 = -1 · 219 · 54 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1717,-518] |
[a1,a2,a3,a4,a6] |
Generators |
[6:100:1] |
Generators of the group modulo torsion |
j |
136670457951/79120000 |
j-invariant |
L |
5.0137040039999 |
L(r)(E,1)/r! |
Ω |
0.57460443199652 |
Real period |
R |
2.1813719684358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890g1 |
Quadratic twists by: -4 |