Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960y |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1154594304000 = -1 · 212 · 33 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1812,59616] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:255:1] |
Generators of the group modulo torsion |
j |
-5949419328/10440125 |
j-invariant |
L |
6.981036478576 |
L(r)(E,1)/r! |
Ω |
0.77582309870754 |
Real period |
R |
0.37492634651459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960x1 24480w1 48960e1 |
Quadratic twists by: -4 8 -3 |