Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688dg |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
42900480 |
Modular degree for the optimal curve |
Δ |
-4.7892361355961E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 5 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19121699256,1017735957964116] |
[a1,a2,a3,a4,a6] |
Generators |
[80028:93822:1] |
Generators of the group modulo torsion |
j |
-668286694038078762077641/413929046016 |
j-invariant |
L |
7.6060774823338 |
L(r)(E,1)/r! |
Ω |
0.057438036845415 |
Real period |
R |
4.7293681902794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5586b1 44688bl1 |
Quadratic twists by: -4 -7 |