Atkin-Lehner |
2+ 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766s |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10112640 |
Modular degree for the optimal curve |
Δ |
2.09263658893E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-198653291,-1075451567146] |
[a1,a2,a3,a4,a6] |
j |
866983838064523578198313683625/2092636588929991015661568 |
j-invariant |
L |
1.0859313466029 |
L(r)(E,1)/r! |
Ω |
0.040219679503134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298y1 |
Quadratic twists by: -3 |