Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960n |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-108971200 = -1 · 26 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
2839159296/1702675 |
j-invariant |
L |
5.2600460895231 |
L(r)(E,1)/r! |
Ω |
1.0943858235338 |
Real period |
R |
2.4031955017575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998344422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960l1 64480h1 |
Quadratic twists by: -4 8 |