Atkin-Lehner |
2- 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224t |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1327814349976240128 = 225 · 34 · 232 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 2 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56615736,-163947138192] |
[a1,a2,a3,a4,a6] |
j |
4899764922728817712550329/324173425287168 |
j-invariant |
L |
1.9813799646018 |
L(r)(E,1)/r! |
Ω |
0.055038332349789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278k2 102672ce2 |
Quadratic twists by: -4 -3 |