Atkin-Lehner |
2+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960t |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-72531230720 = -1 · 214 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 0 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,955,-6563] |
[a1,a2,a3,a4,a6] |
j |
5872987136/4426955 |
j-invariant |
L |
2.4437128047445 |
L(r)(E,1)/r! |
Ω |
0.61092792071684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bj1 16120d1 |
Quadratic twists by: -4 8 |