Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470l |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5548203757969180 = -1 · 22 · 5 · 76 · 119 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10893,3609428] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:2035:1] |
Generators of the group modulo torsion |
j |
-80677568161/3131816380 |
j-invariant |
L |
1.9410342528624 |
L(r)(E,1)/r! |
Ω |
0.35617375434198 |
Real period |
R |
1.3624208895237 |
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 |
67760cl3 76230dn3 42350cp3 59290v3 |
Quadratic twists by: -4 -3 5 -7 |