Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bj |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-33695476416 = -1 · 26 · 37 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 1 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,5042] |
[a1,a2,a3,a4,a6] |
Generators |
[11:119:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
6.6077546152729 |
L(r)(E,1)/r! |
Ω |
0.75633558017311 |
Real period |
R |
0.72804484196102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544er1 1071b1 22848a1 |
Quadratic twists by: -4 8 -3 |