Atkin-Lehner |
2+ 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104h |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
681600 |
Modular degree for the optimal curve |
Δ |
-46327477283709696 = -1 · 28 · 35 · 195 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 -5 -7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138545,-22434069] |
[a1,a2,a3,a4,a6] |
j |
-1148839746476471296/180966708139491 |
j-invariant |
L |
0.61332973809513 |
L(r)(E,1)/r! |
Ω |
0.12266594762793 |
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 |
30552a1 |
Quadratic twists by: -4 |