Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112338d |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1971840 |
Modular degree for the optimal curve |
Δ |
2211944644843765938 = 2 · 36 · 798 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 2 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1386672,-624071818] |
[a1,a2,a3,a4,a6] |
Generators |
[-721:1084:1] [4681:306589:1] |
Generators of the group modulo torsion |
j |
266625/2 |
j-invariant |
L |
8.4221807999802 |
L(r)(E,1)/r! |
Ω |
0.13918822652223 |
Real period |
R |
10.084881715516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12482e1 112338f1 |
Quadratic twists by: -3 -79 |