Atkin-Lehner |
2+ 3- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688g |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9204476396544 = 210 · 32 · 112 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8024,232356] |
[a1,a2,a3,a4,a6] |
j |
55802112308068/8988746481 |
j-invariant |
L |
2.7915048467169 |
L(r)(E,1)/r! |
Ω |
0.69787620447849 |
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 |
58344f2 |
Quadratic twists by: -4 |