Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96048a |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-6627312 = -1 · 24 · 33 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 5 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-279] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1311:1] |
Generators of the group modulo torsion |
j |
-108000000/15341 |
j-invariant |
L |
8.7308061492656 |
L(r)(E,1)/r! |
Ω |
0.80481639918642 |
Real period |
R |
2.7120490334487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48024a1 96048b1 |
Quadratic twists by: -4 -3 |