Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200cx |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-141696000000 = -1 · 213 · 33 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,-19212] |
[a1,a2,a3,a4,a6] |
Generators |
[34:24:1] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
8.7725561936393 |
L(r)(E,1)/r! |
Ω |
0.43113191053634 |
Real period |
R |
1.695644260152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6150x1 1968g1 |
Quadratic twists by: -4 5 |