Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dj |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11659334400 = 28 · 37 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,-43342] |
[a1,a2,a3,a4,a6] |
Generators |
[58:126:1] |
Generators of the group modulo torsion |
j |
7622072656/62475 |
j-invariant |
L |
5.7862083045283 |
L(r)(E,1)/r! |
Ω |
0.6865484380543 |
Real period |
R |
2.1069920134667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420m2 28560ct2 |
Quadratic twists by: -4 -3 |