Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170l |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
351507713834000 = 24 · 53 · 37 · 416 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91991,-10708775] |
[a1,a2,a3,a4,a6] |
Generators |
[-183610:103817:1000] |
Generators of the group modulo torsion |
j |
86091450891473665009/351507713834000 |
j-invariant |
L |
5.0242841658213 |
L(r)(E,1)/r! |
Ω |
0.27420152352583 |
Real period |
R |
9.1616634751266 |
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 |
121360s3 75850a3 |
Quadratic twists by: -4 5 |