Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568bj |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46725120 |
Modular degree for the optimal curve |
Δ |
-3.4088638652023E+26 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -6 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,143355715,593876097387] |
[a1,a2,a3,a4,a6] |
Generators |
[-14940739:1770097116:4913] |
Generators of the group modulo torsion |
j |
7500990645099008/7848009842967 |
j-invariant |
L |
7.6226958224995 |
L(r)(E,1)/r! |
Ω |
0.035729962701782 |
Real period |
R |
13.33386471336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568cg1 113568cz1 |
Quadratic twists by: -4 13 |