Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44436g |
Isogeny class |
Conductor |
44436 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
8709456 = 24 · 3 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-7:1] [9:1:1] |
Generators of the group modulo torsion |
j |
3014656/1029 |
j-invariant |
L |
7.5934278470189 |
L(r)(E,1)/r! |
Ω |
1.7532590500446 |
Real period |
R |
0.48122620853031 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44436b1 |
Quadratic twists by: -23 |