Atkin-Lehner |
2+ 3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
23634g |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-597278448 = -1 · 24 · 37 · 132 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,-1211] |
[a1,a2,a3,a4,a6] |
Generators |
[27:110:1] |
Generators of the group modulo torsion |
j |
-148035889/819312 |
j-invariant |
L |
3.0666971363215 |
L(r)(E,1)/r! |
Ω |
0.6794301918043 |
Real period |
R |
2.2568154707531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878e1 |
Quadratic twists by: -3 |