Atkin-Lehner |
3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6279h |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-1714167 = -1 · 32 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[78:209:8] |
Generators of the group modulo torsion |
j |
127263527/1714167 |
j-invariant |
L |
6.2298283380379 |
L(r)(E,1)/r! |
Ω |
1.301175822051 |
Real period |
R |
2.3939225708244 |
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 |
100464be1 18837a1 43953l1 81627y1 |
Quadratic twists by: -4 -3 -7 13 |