Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119756g |
Isogeny class |
Conductor |
119756 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4285440 |
Modular degree for the optimal curve |
Δ |
-4.0040391918117E+20 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -5 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4492532,-3790925356] |
[a1,a2,a3,a4,a6] |
Generators |
[25559:4071704:1] |
Generators of the group modulo torsion |
j |
-332942427081182032/13294442020769 |
j-invariant |
L |
4.0216901886043 |
L(r)(E,1)/r! |
Ω |
0.051728705718399 |
Real period |
R |
3.8872905838731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999390872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17108a1 |
Quadratic twists by: -7 |