Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128h |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
202015813923078144 = 215 · 3 · 112 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189249,-23099871] |
[a1,a2,a3,a4,a6] |
j |
22875829556351624/6165033383883 |
j-invariant |
L |
0.93405230823066 |
L(r)(E,1)/r! |
Ω |
0.23351307704607 |
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 |
40128ba4 20064i3 120384bu4 |
Quadratic twists by: -4 8 -3 |