Atkin-Lehner |
2- 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768ct |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.3395387251743E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2733889,-1247968031] |
[a1,a2,a3,a4,a6] |
j |
17240766793979723426/4836684208049217 |
j-invariant |
L |
0.47961355221997 |
L(r)(E,1)/r! |
Ω |
0.11990306727346 |
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 |
120768bp4 30192i4 |
Quadratic twists by: -4 8 |