Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cb |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
33749819921664 = 28 · 33 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40245,-3108393] |
[a1,a2,a3,a4,a6] |
Generators |
[261:2058:1] |
Generators of the group modulo torsion |
j |
5767168/27 |
j-invariant |
L |
8.2351194308742 |
L(r)(E,1)/r! |
Ω |
0.33716542197512 |
Real period |
R |
1.3569203874304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148s1 71148ca1 |
Quadratic twists by: -7 -11 |