Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
23360x |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
11960320 = 215 · 5 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -5 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
941192/365 |
j-invariant |
L |
3.4814232540307 |
L(r)(E,1)/r! |
Ω |
1.7355187566476 |
Real period |
R |
0.50149605711487 |
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 |
23360w1 11680e1 116800cg1 |
Quadratic twists by: -4 8 5 |