Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670cg |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-38139336347490 = -1 · 2 · 312 · 5 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1226,-297690] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/324179010 |
j-invariant |
L |
6.9338759514841 |
L(r)(E,1)/r! |
Ω |
0.28891149781122 |
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 |
1830h1 |
Quadratic twists by: -7 |