Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360bj |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-137768960 = -1 · 212 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 5 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,563] |
[a1,a2,a3,a4,a6] |
j |
-4096/33635 |
j-invariant |
L |
2.9496983541595 |
L(r)(E,1)/r! |
Ω |
1.4748491770797 |
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 |
1085g1 69440cv1 86800z1 121520by1 |
Quadratic twists by: -4 8 5 -7 |