Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440el |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-215550720 = -1 · 28 · 37 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,1244] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
-4194304/1155 |
j-invariant |
L |
6.6988029282892 |
L(r)(E,1)/r! |
Ω |
1.6851136943811 |
Real period |
R |
0.49691030867125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13860u1 18480by1 |
Quadratic twists by: -4 -3 |