Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370d |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
603288 |
Modular degree for the optimal curve |
Δ |
-209657522290688000 = -1 · 221 · 53 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 0 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,144032,6591488] |
[a1,a2,a3,a4,a6] |
j |
7023836099951/4456448000 |
j-invariant |
L |
0.19667221500232 |
L(r)(E,1)/r! |
Ω |
0.19667221397373 |
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 |
170c1 |
Quadratic twists by: -19 |