Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200j |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-10456593750000 = -1 · 24 · 39 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -5 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6075,239625] |
[a1,a2,a3,a4,a6] |
j |
-5038848/2125 |
j-invariant |
L |
2.706548071755 |
L(r)(E,1)/r! |
Ω |
0.67663701950813 |
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 |
30600f1 61200d1 12240a1 |
Quadratic twists by: -4 -3 5 |