Atkin-Lehner |
5+ 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128975d |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
564265625 = 56 · 72 · 11 · 67 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11+ -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,1923] |
[a1,a2,a3,a4,a6] |
j |
244140625/36113 |
j-invariant |
L |
1.5711021293393 |
L(r)(E,1)/r! |
Ω |
1.5711023608084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159c1 |
Quadratic twists by: 5 |