Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900v |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-189750000 = -1 · 24 · 3 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,142,-87] |
[a1,a2,a3,a4,a6] |
j |
1257728/759 |
j-invariant |
L |
3.1284340526333 |
L(r)(E,1)/r! |
Ω |
1.0428113556836 |
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 |
3036c1 |
Quadratic twists by: 5 |