Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768g |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2734079311872 = 215 · 33 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43009,-3417887] |
[a1,a2,a3,a4,a6] |
j |
268510893428744/83437479 |
j-invariant |
L |
1.3261018060254 |
L(r)(E,1)/r! |
Ω |
0.33152552827653 |
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 |
120768bi4 60384k4 |
Quadratic twists by: -4 8 |