Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894s |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-8837765585432 = -1 · 23 · 76 · 193 · 372 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8968,-360543] |
[a1,a2,a3,a4,a6] |
j |
-677993136625/75119768 |
j-invariant |
L |
1.4626587878922 |
L(r)(E,1)/r! |
Ω |
0.24377646655458 |
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 |
1406h1 |
Quadratic twists by: -7 |