Atkin-Lehner |
2+ 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57354m |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
623040 |
Modular degree for the optimal curve |
Δ |
-1999913055138702 = -1 · 2 · 310 · 118 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21656,-1765876] |
[a1,a2,a3,a4,a6] |
j |
5240174951/9329742 |
j-invariant |
L |
2.4445890968746 |
L(r)(E,1)/r! |
Ω |
0.24445890958143 |
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 |
57354z1 |
Quadratic twists by: -11 |