Atkin-Lehner |
2- 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104w |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
422350848 = 212 · 34 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-472,3668] |
[a1,a2,a3,a4,a6] |
j |
2845178713/103113 |
j-invariant |
L |
6.6632589451431 |
L(r)(E,1)/r! |
Ω |
1.6658147373132 |
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 |
3819d1 |
Quadratic twists by: -4 |