Atkin-Lehner |
2+ 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104j |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
196084221071616 = 28 · 35 · 196 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14572,62540] |
[a1,a2,a3,a4,a6] |
j |
1336814161325008/765953988561 |
j-invariant |
L |
2.4195891029289 |
L(r)(E,1)/r! |
Ω |
0.48391781997849 |
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 |
30552c1 |
Quadratic twists by: -4 |