Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100j |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
-650790128851200 = -1 · 28 · 35 · 52 · 132 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 13- 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3588,-1228968] |
[a1,a2,a3,a4,a6] |
j |
-798402846160/101685957633 |
j-invariant |
L |
2.2717444790227 |
L(r)(E,1)/r! |
Ω |
0.22717444784876 |
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 |
74100bj1 |
Quadratic twists by: 5 |