Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984bi |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
11741001560064 = 212 · 35 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8640,264384] |
[a1,a2,a3,a4,a6] |
Generators |
[26:238:1] |
Generators of the group modulo torsion |
j |
7253758561/1193859 |
j-invariant |
L |
5.7860882131028 |
L(r)(E,1)/r! |
Ω |
0.68329528131345 |
Real period |
R |
0.47043987272179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499i1 119952dm1 39984db1 |
Quadratic twists by: -4 -3 -7 |