Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14896u |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-11190986905178416 = -1 · 24 · 710 · 195 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 1 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180875,29982532] |
[a1,a2,a3,a4,a6] |
Generators |
[256:722:1] |
Generators of the group modulo torsion |
j |
-144797599744/2476099 |
j-invariant |
L |
3.5009533721559 |
L(r)(E,1)/r! |
Ω |
0.40447524454979 |
Real period |
R |
1.7311088474909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448s1 59584cm1 14896d1 |
Quadratic twists by: -4 8 -7 |