Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5031d |
Isogeny class |
Conductor |
5031 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-473120271 = -1 · 39 · 13 · 432 |
Discriminant |
Eigenvalues |
1 3- -2 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] |
Generators of the group modulo torsion |
j |
-38272753/648999 |
j-invariant |
L |
4.0821907406951 |
L(r)(E,1)/r! |
Ω |
1.4023133967528 |
Real period |
R |
2.9110402497386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496bd1 1677b1 125775v1 65403m1 |
Quadratic twists by: -4 -3 5 13 |