Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44436b |
Isogeny class |
Conductor |
44436 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
1289312061666384 = 24 · 3 · 73 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 6 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32445,1451478] |
[a1,a2,a3,a4,a6] |
Generators |
[353:5819:1] |
Generators of the group modulo torsion |
j |
3014656/1029 |
j-invariant |
L |
5.4074318785824 |
L(r)(E,1)/r! |
Ω |
0.44470731173653 |
Real period |
R |
1.3510588839665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44436g1 |
Quadratic twists by: -23 |