Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952fm |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5177781687988224 = -1 · 212 · 37 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-418656,104321392] |
[a1,a2,a3,a4,a6] |
j |
-23100424192/14739 |
j-invariant |
L |
3.4088731823468 |
L(r)(E,1)/r! |
Ω |
0.42610912450979 |
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 |
7497f2 39984dv2 2448s2 |
Quadratic twists by: -4 -3 -7 |