Atkin-Lehner |
2- 3- 5- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610bn |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
19211337000000 = 26 · 36 · 56 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22395,1270737] |
[a1,a2,a3,a4,a6] |
j |
1242161671780165681/19211337000000 |
j-invariant |
L |
8.2552640884719 |
L(r)(E,1)/r! |
Ω |
0.68793867404373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
124830bb1 |
Quadratic twists by: -3 |