Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330k |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-28397608552810000 = -1 · 24 · 54 · 76 · 176 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-121202,-18202876] |
[a1,a2,a3,a4,a6] |
Generators |
[5368:389806:1] |
Generators of the group modulo torsion |
j |
-1673672305534489/241375690000 |
j-invariant |
L |
4.8531115488068 |
L(r)(E,1)/r! |
Ω |
0.126921773693 |
Real period |
R |
4.7796286322643 |
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 |
66640cg2 74970dd2 41650cf2 170b2 |
Quadratic twists by: -4 -3 5 -7 |