Atkin-Lehner |
2- 3+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18696f |
Isogeny class |
Conductor |
18696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13707006503897088 = -1 · 211 · 38 · 192 · 414 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29984,5986860] |
[a1,a2,a3,a4,a6] |
j |
-1455716992652354/6692874269481 |
j-invariant |
L |
1.3804061203447 |
L(r)(E,1)/r! |
Ω |
0.34510153008617 |
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 |
37392f3 56088c3 |
Quadratic twists by: -4 -3 |