Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360f |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-8235599790080 = -1 · 231 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 0 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2395136,-1427533900] |
[a1,a2,a3,a4,a6] |
j |
-370983403154885372929/2010644480 |
j-invariant |
L |
2.1844368803095 |
L(r)(E,1)/r! |
Ω |
0.060678802189857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670f1 |
Quadratic twists by: -4 |