Atkin-Lehner |
2+ 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344j |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-2772761216112 = -1 · 24 · 39 · 192 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -1 -5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1005,-79171] |
[a1,a2,a3,a4,a6] |
Generators |
[68:551:1] |
Generators of the group modulo torsion |
j |
9624416000/237719583 |
j-invariant |
L |
4.1084653504143 |
L(r)(E,1)/r! |
Ω |
0.39055403842798 |
Real period |
R |
0.87663185814577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39672n1 26448a1 |
Quadratic twists by: -4 -3 |