Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446df |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
459264 |
Modular degree for the optimal curve |
Δ |
-29610231619584 = -1 · 213 · 3 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-132056,-18483648] |
[a1,a2,a3,a4,a6] |
j |
-2164761684272881/251682816 |
j-invariant |
L |
3.2557445767978 |
L(r)(E,1)/r! |
Ω |
0.12522094530215 |
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 |
8778l1 |
Quadratic twists by: -7 |