Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200dq |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1531811250000 = 24 · 36 · 57 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30033,1992438] |
[a1,a2,a3,a4,a6] |
j |
11983793373184/6127245 |
j-invariant |
L |
5.0168378227956 |
L(r)(E,1)/r! |
Ω |
0.83613963715858 |
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 |
12300g1 9840q1 |
Quadratic twists by: -4 5 |