Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680bt |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5351634489600 = 28 · 310 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12927,554654] |
[a1,a2,a3,a4,a6] |
j |
1280116410064/28676025 |
j-invariant |
L |
3.0510858575667 |
L(r)(E,1)/r! |
Ω |
0.76277148247216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840cm2 28560b2 |
Quadratic twists by: -4 -3 |