Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
80712m |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-4455868029696 = -1 · 28 · 36 · 193 · 592 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 1 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6012,-206172] |
[a1,a2,a3,a4,a6] |
Generators |
[744:20178:1] |
Generators of the group modulo torsion |
j |
-128769537024/23876179 |
j-invariant |
L |
5.6583315116459 |
L(r)(E,1)/r! |
Ω |
0.26839062829759 |
Real period |
R |
0.87843534053565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8968a1 |
Quadratic twists by: -3 |