Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220a |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-323785350000 = -1 · 24 · 39 · 55 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14013,-639063] |
[a1,a2,a3,a4,a6] |
j |
-966286257408/1028125 |
j-invariant |
L |
1.7550886543161 |
L(r)(E,1)/r! |
Ω |
0.21938608186043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59220d1 |
Quadratic twists by: -3 |