Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bd |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
32637528 = 23 · 32 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-482,3863] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:91:1] |
Generators of the group modulo torsion |
j |
12385716632353/32637528 |
j-invariant |
L |
7.0082556292347 |
L(r)(E,1)/r! |
Ω |
2.0832603120803 |
Real period |
R |
0.5606801022893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184cg2 40194r2 93786dc2 |
Quadratic twists by: -4 -3 -7 |