Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880d |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60160 |
Modular degree for the optimal curve |
Δ |
-22982400000 = -1 · 211 · 33 · 55 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 5 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4563,118862] |
[a1,a2,a3,a4,a6] |
j |
-190012163094/415625 |
j-invariant |
L |
2.4097530327966 |
L(r)(E,1)/r! |
Ω |
1.2048765164594 |
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 |
95760g1 47880y1 |
Quadratic twists by: -4 -3 |