Atkin-Lehner |
2- 3+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726m |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
94976 |
Modular degree for the optimal curve |
Δ |
8280601174692 = 22 · 314 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7559,-214855] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:188:1] |
Generators of the group modulo torsion |
j |
47766161097463537/8280601174692 |
j-invariant |
L |
6.0121998525738 |
L(r)(E,1)/r! |
Ω |
0.51808187496361 |
Real period |
R |
2.9011822952675 |
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 |
101178l1 |
Quadratic twists by: -3 |