Atkin-Lehner |
2+ 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394r |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
284235459555615876 = 22 · 34 · 72 · 118 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-266444,46196220] |
[a1,a2,a3,a4,a6] |
j |
1180831643443873/160443506916 |
j-invariant |
L |
2.3736546416651 |
L(r)(E,1)/r! |
Ω |
0.29670682205177 |
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 |
7854l2 |
Quadratic twists by: -11 |