Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192c |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
813378543519744 = 211 · 310 · 173 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-206624,36193824] |
[a1,a2,a3,a4,a6] |
j |
476363147195783234/397157491953 |
j-invariant |
L |
0.9977066571897 |
L(r)(E,1)/r! |
Ω |
0.49885332859531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15096h2 120768de2 90576j2 |
Quadratic twists by: -4 8 -3 |