Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768ba |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
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] |
j |
-470596/5661 |
j-invariant |
L |
5.7635159625108 |
L(r)(E,1)/r! |
Ω |
1.4408793059808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768ce1 15096c1 |
Quadratic twists by: -4 8 |