Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bk |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
232738205290463232 = 226 · 36 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14278035,-20765887918] |
[a1,a2,a3,a4,a6] |
j |
107805659942195988625/77943554048 |
j-invariant |
L |
0.31066509246182 |
L(r)(E,1)/r! |
Ω |
0.077666272634812 |
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 |
7038f1 6256e1 |
Quadratic twists by: -4 -3 |