Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376ba |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-197850184003584 = -1 · 212 · 32 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -5 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6403,649515] |
[a1,a2,a3,a4,a6] |
j |
25088/171 |
j-invariant |
L |
1.6427452477371 |
L(r)(E,1)/r! |
Ω |
0.41068634353259 |
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 |
89376bl1 89376a1 |
Quadratic twists by: -4 -7 |