Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878r |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-3.4260102715944E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1741158,104688180] |
[a1,a2,a3,a4,a6] |
Generators |
[-28699986:6772973271:941192] |
Generators of the group modulo torsion |
j |
800775157152056609375/469960256734490368 |
j-invariant |
L |
4.4154654309823 |
L(r)(E,1)/r! |
Ω |
0.10357491986507 |
Real period |
R |
10.657660746286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
3542o3 |
Quadratic twists by: -3 |