Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370m |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-31983930 = -1 · 2 · 33 · 5 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16,272] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:125:8] |
Generators of the group modulo torsion |
j |
494913671/31983930 |
j-invariant |
L |
4.7242861605811 |
L(r)(E,1)/r! |
Ω |
1.5860893223627 |
Real period |
R |
2.9785750991272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88110cj1 |
Quadratic twists by: -3 |