Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cv |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-10716480 = -1 · 26 · 32 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,-138] |
[a1,a2,a3,a4,a6] |
Generators |
[74:245:8] |
Generators of the group modulo torsion |
j |
107850176/167445 |
j-invariant |
L |
4.7688968693015 |
L(r)(E,1)/r! |
Ω |
1.2040543427835 |
Real period |
R |
3.9606990316896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560dw1 29280y2 |
Quadratic twists by: -4 8 |