Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59048c |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-18563011402496 = -1 · 28 · 117 · 612 |
Discriminant |
Eigenvalues |
2+ 1 1 0 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6615,11867] |
[a1,a2,a3,a4,a6] |
Generators |
[7:242:1] |
Generators of the group modulo torsion |
j |
70575104/40931 |
j-invariant |
L |
7.8375384723658 |
L(r)(E,1)/r! |
Ω |
0.41364511846596 |
Real period |
R |
1.1842183858646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096j1 5368b1 |
Quadratic twists by: -4 -11 |