Atkin-Lehner |
3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79059j |
Isogeny class |
Conductor |
79059 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
2.1465801021699E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3056053,-2044450864] |
[a1,a2,a3,a4,a6] |
Generators |
[-880822941485961:3483374718966532:877292015517] |
Generators of the group modulo torsion |
j |
67094166273513625/456273760113 |
j-invariant |
L |
4.3114668733874 |
L(r)(E,1)/r! |
Ω |
0.11423187527938 |
Real period |
R |
18.87155779192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161a1 |
Quadratic twists by: -19 |