Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899k |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1375698617031843 = -1 · 37 · 136 · 194 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12897,-1696356] |
[a1,a2,a3,a4,a6] |
Generators |
[88:294:1] |
Generators of the group modulo torsion |
j |
67419143/390963 |
j-invariant |
L |
5.1470510673489 |
L(r)(E,1)/r! |
Ω |
0.24084010297888 |
Real period |
R |
2.671404701546 |
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 |
9633m4 171a4 |
Quadratic twists by: -3 13 |