Atkin-Lehner |
2- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240y |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1812070400 = -1 · 217 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 5 -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-2048] |
[a1,a2,a3,a4,a6] |
Generators |
[34:190:1] |
Generators of the group modulo torsion |
j |
-1/442400 |
j-invariant |
L |
6.1191473495872 |
L(r)(E,1)/r! |
Ω |
0.68136855044217 |
Real period |
R |
2.2451679585225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530k1 |
Quadratic twists by: -4 |