Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800bf |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-116718750000 = -1 · 24 · 32 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 6 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137083,19489838] |
[a1,a2,a3,a4,a6] |
j |
-1823297996800/747 |
j-invariant |
L |
3.4142935833843 |
L(r)(E,1)/r! |
Ω |
0.85357339595415 |
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 |
99600b1 49800i1 |
Quadratic twists by: -4 5 |