Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39672o |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
-2.2947957737672E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 3 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,319524,219743908] |
[a1,a2,a3,a4,a6] |
Generators |
[432:-20938:1] |
Generators of the group modulo torsion |
j |
19331549751176192/122963593844691 |
j-invariant |
L |
6.9615670028642 |
L(r)(E,1)/r! |
Ω |
0.15506682599977 |
Real period |
R |
1.1223495028642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344k1 13224c1 |
Quadratic twists by: -4 -3 |