Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bc |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1328400000000 = 210 · 34 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28008,1793988] |
[a1,a2,a3,a4,a6] |
Generators |
[48:750:1] |
Generators of the group modulo torsion |
j |
151867739524/83025 |
j-invariant |
L |
8.233897344674 |
L(r)(E,1)/r! |
Ω |
0.84692785374009 |
Real period |
R |
0.60762977834368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600x1 9840e1 |
Quadratic twists by: -4 5 |