Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680df |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
945 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-1.6878884758879E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1310745,-238511025] |
[a1,a2,a3,a4,a6] |
Generators |
[5790:448875:1] |
Generators of the group modulo torsion |
j |
3891329764605605689856/2637325743574921875 |
j-invariant |
L |
10.044360380496 |
L(r)(E,1)/r! |
Ω |
0.10274230871134 |
Real period |
R |
0.10345253897886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680w1 63840bh1 |
Quadratic twists by: -4 8 |