Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8470b |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1304380 = -1 · 22 · 5 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50,160] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-10503459/980 |
j-invariant |
L |
2.5400180486167 |
L(r)(E,1)/r! |
Ω |
2.6537763193608 |
Real period |
R |
0.47856671831869 |
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 |
67760bj1 76230eg1 42350cd1 59290bj1 |
Quadratic twists by: -4 -3 5 -7 |