Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398t |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
718025616 = 24 · 32 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-815,8786] |
[a1,a2,a3,a4,a6] |
j |
59762712765673/718025616 |
j-invariant |
L |
3.2225568618249 |
L(r)(E,1)/r! |
Ω |
1.6112784309125 |
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 |
107184bi2 40194bx2 93786q2 |
Quadratic twists by: -4 -3 -7 |