Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bn |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-4802597137022976 = -1 · 217 · 311 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 6 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8133,-3322262] |
[a1,a2,a3,a4,a6] |
j |
19924551431/1608380064 |
j-invariant |
L |
1.6491551577671 |
L(r)(E,1)/r! |
Ω |
0.20614439432532 |
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 |
7038o1 18768w1 |
Quadratic twists by: -4 -3 |