Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824bd |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-68377811957104 = -1 · 24 · 1310 · 31 |
Discriminant |
Eigenvalues |
2- -2 -1 3 2 13+ 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11886,634063] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:22139:27] |
Generators of the group modulo torsion |
j |
-2404846336/885391 |
j-invariant |
L |
5.2176013622838 |
L(r)(E,1)/r! |
Ω |
0.58113732262821 |
Real period |
R |
4.4891294734556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20956b1 6448k1 |
Quadratic twists by: -4 13 |