Atkin-Lehner |
3+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475f |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
44326171875 = 3 · 510 · 17 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-605213,180969656] |
[a1,a2,a3,a4,a6] |
Generators |
[3598:-1505:8] |
Generators of the group modulo torsion |
j |
1569019984870366729/2836875 |
j-invariant |
L |
3.0363843603739 |
L(r)(E,1)/r! |
Ω |
0.73659631153024 |
Real period |
R |
4.1221823926059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22695d4 |
Quadratic twists by: 5 |