Atkin-Lehner |
2- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8008b |
Isogeny class |
Conductor |
8008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-23319296 = -1 · 28 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,221] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:14:1] [7:26:1] |
Generators of the group modulo torsion |
j |
5030912/91091 |
j-invariant |
L |
4.1471007170742 |
L(r)(E,1)/r! |
Ω |
1.5924051641887 |
Real period |
R |
0.3255374959164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16016d1 64064h1 72072l1 56056r1 |
Quadratic twists by: -4 8 -3 -7 |