Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fg |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
74221882031250000 = 24 · 36 · 511 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207300,33881375] |
[a1,a2,a3,a4,a6] |
j |
5405726654464/407253125 |
j-invariant |
L |
2.7005154837293 |
L(r)(E,1)/r! |
Ω |
0.33756443709671 |
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 |
17100q1 7600q1 13680bv1 |
Quadratic twists by: -4 -3 5 |