Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670r |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6278181696900 = 22 · 32 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4630,-15025] |
[a1,a2,a3,a4,a6] |
Generators |
[2245:105229:1] |
Generators of the group modulo torsion |
j |
454756609/260100 |
j-invariant |
L |
5.708465286841 |
L(r)(E,1)/r! |
Ω |
0.62715919548526 |
Real period |
R |
4.551049660066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69360do2 26010f2 43350bb2 510f2 |
Quadratic twists by: -4 -3 5 17 |