Atkin-Lehner |
2+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110bb |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
9192960 |
Modular degree for the optimal curve |
Δ |
-4.8965686567005E+21 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14609542,-21761465106] |
[a1,a2,a3,a4,a6] |
j |
-23553899724205402897081/334442227764531250 |
j-invariant |
L |
2.7004842099239 |
L(r)(E,1)/r! |
Ω |
0.038578353901031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110cs1 |
Quadratic twists by: -11 |