Atkin-Lehner |
2- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360m |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
206592 |
Modular degree for the optimal curve |
Δ |
27686715801680 = 24 · 5 · 134 · 594 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46441,3859320] |
[a1,a2,a3,a4,a6] |
j |
692337362177081344/1730419737605 |
j-invariant |
L |
2.6707160326306 |
L(r)(E,1)/r! |
Ω |
0.66767900948911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15340b1 |
Quadratic twists by: -4 |