Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488ba |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-50192247103488 = -1 · 213 · 315 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11595,589178] |
[a1,a2,a3,a4,a6] |
j |
-57736239625/16809282 |
j-invariant |
L |
2.4026944366528 |
L(r)(E,1)/r! |
Ω |
0.60067360898837 |
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 |
7686u1 20496i1 |
Quadratic twists by: -4 -3 |