Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bp |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-2805872240106 = -1 · 2 · 36 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 3- -3 1 6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2281,68249] |
[a1,a2,a3,a4,a6] |
Generators |
[2307438:45055747:5832] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
9.719228259162 |
L(r)(E,1)/r! |
Ω |
0.55861321495609 |
Real period |
R |
8.699425546175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754d1 234e1 |
Quadratic twists by: -3 -23 |