Atkin-Lehner |
2+ 3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950k |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
4.2259901212262E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8866250,9664492500] |
[a1,a2,a3,a4,a6] |
j |
4933142732095233789601/270463367758479360 |
j-invariant |
L |
1.0919643571954 |
L(r)(E,1)/r! |
Ω |
0.13649548465058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390r1 |
Quadratic twists by: 5 |