Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11560l |
Isogeny class |
Conductor |
11560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1479680 = -1 · 210 · 5 · 172 |
Discriminant |
Eigenvalues |
2- -3 5- 3 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187,-986] |
[a1,a2,a3,a4,a6] |
Generators |
[35:188:1] |
Generators of the group modulo torsion |
j |
-2443716/5 |
j-invariant |
L |
3.5100347162288 |
L(r)(E,1)/r! |
Ω |
0.64544005067898 |
Real period |
R |
2.7191020394042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23120l1 92480bg1 104040n1 57800i1 |
Quadratic twists by: -4 8 -3 5 |