Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700z |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
12285281250000 = 24 · 32 · 59 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7633,190988] |
[a1,a2,a3,a4,a6] |
j |
196755275776/49141125 |
j-invariant |
L |
5.3440591439653 |
L(r)(E,1)/r! |
Ω |
0.66800739291804 |
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 |
12540f1 |
Quadratic twists by: 5 |