Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398t |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35665476 = 22 · 3 · 7 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12995,569066] |
[a1,a2,a3,a4,a6] |
j |
242663535802176553/35665476 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
107184bi4 40194bx4 93786q4 |
Quadratic twists by: -4 -3 -7 |