Atkin-Lehner |
2+ 3- 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274x |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-11300725994342568 = -1 · 23 · 3 · 73 · 172 · 416 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19494,-5004524] |
[a1,a2,a3,a4,a6] |
j |
819329556853190375/11300725994342568 |
j-invariant |
L |
2.3715719153429 |
L(r)(E,1)/r! |
Ω |
0.19763099294512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bn4 |
Quadratic twists by: -3 |