Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bz |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-355626224107241472 = -1 · 214 · 36 · 75 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,137796,-20870768] |
[a1,a2,a3,a4,a6] |
Generators |
[206:4032:1] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
6.9958996215603 |
L(r)(E,1)/r! |
Ω |
0.16220912547168 |
Real period |
R |
2.1564445283877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352dx1 5544x1 4928r1 |
Quadratic twists by: -4 8 -3 |