Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446de |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
964320 |
Modular degree for the optimal curve |
Δ |
61446 = 2 · 3 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14044626,-20259954786] |
[a1,a2,a3,a4,a6] |
j |
6252564350146719590876401/1254 |
j-invariant |
L |
3.8213611960033 |
L(r)(E,1)/r! |
Ω |
0.077986963295662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446bl1 |
Quadratic twists by: -7 |