Atkin-Lehner |
2- 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674t |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3669120 |
Modular degree for the optimal curve |
Δ |
-4279567695510353428 = -1 · 22 · 710 · 135 · 1012 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4091354,3186501688] |
[a1,a2,a3,a4,a6] |
j |
-26812943471228593/15150239572 |
j-invariant |
L |
0.9722150272037 |
L(r)(E,1)/r! |
Ω |
0.24305378279348 |
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 |
128674n1 |
Quadratic twists by: -7 |