Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880v |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
3184551936000 = 214 · 39 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88587,-10148166] |
[a1,a2,a3,a4,a6] |
Generators |
[613:12880:1] |
Generators of the group modulo torsion |
j |
953635600107/39500 |
j-invariant |
L |
6.408516540817 |
L(r)(E,1)/r! |
Ω |
0.27673120576679 |
Real period |
R |
3.8596517771456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7110q1 56880q1 |
Quadratic twists by: -4 -3 |