Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768ce |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-370999296 = -1 · 216 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 -3 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-927] |
[a1,a2,a3,a4,a6] |
Generators |
[13:16:1] [23:96:1] |
Generators of the group modulo torsion |
j |
-470596/5661 |
j-invariant |
L |
9.1152638641327 |
L(r)(E,1)/r! |
Ω |
0.72296393972005 |
Real period |
R |
1.5760232561713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768ba1 30192f1 |
Quadratic twists by: -4 8 |