Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768bk |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-185499648 = -1 · 215 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 6 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1665,-26721] |
[a1,a2,a3,a4,a6] |
Generators |
[99:888:1] |
Generators of the group modulo torsion |
j |
-15587529992/5661 |
j-invariant |
L |
8.0785259152179 |
L(r)(E,1)/r! |
Ω |
0.37366705047052 |
Real period |
R |
2.7024478933597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768h1 60384u1 |
Quadratic twists by: -4 8 |