Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360i |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1534000 = -1 · 24 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 -5 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,60] |
[a1,a2,a3,a4,a6] |
j |
-16384/95875 |
j-invariant |
L |
2.1475171059825 |
L(r)(E,1)/r! |
Ω |
2.1475171077098 |
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 |
15340a1 |
Quadratic twists by: -4 |