Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560v |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-3457909440 = -1 · 26 · 311 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 0 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-495,5265] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:93:1] |
Generators of the group modulo torsion |
j |
-210008272384/54029835 |
j-invariant |
L |
4.551871157768 |
L(r)(E,1)/r! |
Ω |
1.3399096163445 |
Real period |
R |
3.3971479137855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560bx1 29280x1 |
Quadratic twists by: -4 8 |