Atkin-Lehner |
2+ 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970c |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
1469644800 = 216 · 3 · 52 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-552,4416] |
[a1,a2,a3,a4,a6] |
Generators |
[17:9:1] |
Generators of the group modulo torsion |
j |
18653901818761/1469644800 |
j-invariant |
L |
3.0200838638115 |
L(r)(E,1)/r! |
Ω |
1.4785046626082 |
Real period |
R |
2.0426610346185 |
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 |
71760cd1 26910bf1 44850bu1 116610bl1 |
Quadratic twists by: -4 -3 5 13 |