Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596bg |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-2.4807940144168E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6123039,4839061669] |
[a1,a2,a3,a4,a6] |
Generators |
[-676:19773:1] |
Generators of the group modulo torsion |
j |
205251862784/200564019 |
j-invariant |
L |
4.693659647548 |
L(r)(E,1)/r! |
Ω |
0.078572792384907 |
Real period |
R |
2.98682250721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999989892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532q1 115596bb1 |
Quadratic twists by: -3 13 |