Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128r |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-6747435565056 = -1 · 223 · 33 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -1 -5 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1560,127728] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:256:1] |
Generators of the group modulo torsion |
j |
-3442951/55296 |
j-invariant |
L |
6.3513742423271 |
L(r)(E,1)/r! |
Ω |
0.63258282999358 |
Real period |
R |
1.2550479441517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766d1 46128y1 |
Quadratic twists by: -4 -31 |