Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dt |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-68183654400000 = -1 · 223 · 32 · 55 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,720,-396972] |
[a1,a2,a3,a4,a6] |
j |
34822511/57600000 |
j-invariant |
L |
5.7425120000082 |
L(r)(E,1)/r! |
Ω |
0.28712560052381 |
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 |
8670s1 69360cm1 |
Quadratic twists by: -4 17 |