Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fm |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
5.043669630997E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-922936008,10791239951988] |
[a1,a2,a3,a4,a6] |
j |
1358496453776544375572161/78807337984327680 |
j-invariant |
L |
1.7433402361879 |
L(r)(E,1)/r! |
Ω |
0.072639181443003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650k1 21840bn1 |
Quadratic twists by: -4 5 |