Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950cf |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
216825000000 = 26 · 3 · 58 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1838,20292] |
[a1,a2,a3,a4,a6] |
j |
43949604889/13876800 |
j-invariant |
L |
5.5343372371174 |
L(r)(E,1)/r! |
Ω |
0.92238953983423 |
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 |
12390d1 |
Quadratic twists by: 5 |