Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398t |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-224159981892 = -1 · 22 · 3 · 74 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-155,22778] |
[a1,a2,a3,a4,a6] |
j |
-408023180713/224159981892 |
j-invariant |
L |
3.2225568618249 |
L(r)(E,1)/r! |
Ω |
0.80563921545623 |
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 |
107184bi3 40194bx3 93786q3 |
Quadratic twists by: -4 -3 -7 |