Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
22644i |
Isogeny class |
Conductor |
22644 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-770172800256 = -1 · 28 · 314 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -5 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4359,-118546] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1458:1] |
Generators of the group modulo torsion |
j |
-49081386832/4126869 |
j-invariant |
L |
2.2229112227963 |
L(r)(E,1)/r! |
Ω |
0.29237480296079 |
Real period |
R |
1.9007376835192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576cd1 7548c1 |
Quadratic twists by: -4 -3 |