Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398u |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
56561334407211942 = 2 · 36 · 72 · 113 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-681951,-216513740] |
[a1,a2,a3,a4,a6] |
Generators |
[8470:121887:8] |
Generators of the group modulo torsion |
j |
35073758582613103515625/56561334407211942 |
j-invariant |
L |
4.6720197243213 |
L(r)(E,1)/r! |
Ω |
0.16615116965074 |
Real period |
R |
4.6865150314039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
107184bk2 40194bs2 93786v2 |
Quadratic twists by: -4 -3 -7 |