Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dl |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-5110140 = -1 · 22 · 3 · 5 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35,77] |
[a1,a2,a3,a4,a6] |
j |
389017/420 |
j-invariant |
L |
6.4304978777244 |
L(r)(E,1)/r! |
Ω |
1.6076246426236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090cn1 |
Quadratic twists by: -23 |