Atkin-Lehner |
3+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475f |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1742195859375 = -1 · 3 · 57 · 174 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1713,68406] |
[a1,a2,a3,a4,a6] |
Generators |
[9:227:1] |
Generators of the group modulo torsion |
j |
-35578826569/111500535 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
22695d1 |
Quadratic twists by: 5 |