Atkin-Lehner |
2+ 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bf |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-1113213577870614528 = -1 · 213 · 37 · 77 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181473,-58856108] |
[a1,a2,a3,a4,a6] |
j |
-5617823470447609/9462159286272 |
j-invariant |
L |
1.5309717093551 |
L(r)(E,1)/r! |
Ω |
0.10935512281905 |
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 |
8778g1 |
Quadratic twists by: -7 |