Atkin-Lehner |
2- 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494ce |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
1664 |
Product of Tamagawa factors cp |
Δ |
1.0168098403561E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3220955159,70360690303023] |
[a1,a2,a3,a4,a6] |
Generators |
[-20029:11272254:1] |
Generators of the group modulo torsion |
j |
5069325989503805208043831494697/139480087840344244224 |
j-invariant |
L |
13.424670906752 |
L(r)(E,1)/r! |
Ω |
0.077557024197191 |
Real period |
R |
1.6643672877014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000076 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36498o2 |
Quadratic twists by: -3 |