Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336p |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
5687148544 = 216 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11+ -3 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-792,-8044] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:14:1] |
Generators of the group modulo torsion |
j |
13430356633/1388464 |
j-invariant |
L |
4.2219346952165 |
L(r)(E,1)/r! |
Ω |
0.90586282896154 |
Real period |
R |
2.3303388549768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542f1 113344dl1 |
Quadratic twists by: -4 8 |