Atkin-Lehner |
2+ 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9078a |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-41205042 = -1 · 2 · 32 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,65,-209] |
[a1,a2,a3,a4,a6] |
Generators |
[7:22:1] [15:59:1] |
Generators of the group modulo torsion |
j |
29647082375/41205042 |
j-invariant |
L |
3.5854076954225 |
L(r)(E,1)/r! |
Ω |
1.0831811954197 |
Real period |
R |
1.6550359767067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624x2 27234m2 |
Quadratic twists by: -4 -3 |