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 |
Δ |
1.4156445727E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 2 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267627732,1685240944208] |
[a1,a2,a3,a4,a6] |
Generators |
[74894:-149785:8] [-283:1327152:1] |
Generators of the group modulo torsion |
j |
1916782322625/128 |
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 |
12482e2 112338f2 |
Quadratic twists by: -3 -79 |