Atkin-Lehner |
2+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070d |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-14332380875816960 = -1 · 215 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- 6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61229,-8201624] |
[a1,a2,a3,a4,a6] |
j |
-14329429649569/8090255360 |
j-invariant |
L |
1.1830777577456 |
L(r)(E,1)/r! |
Ω |
0.14788471810011 |
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 |
7370d1 |
Quadratic twists by: -11 |