Atkin-Lehner |
2- 3+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
83448g |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1954685952 = 210 · 33 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,14958] |
[a1,a2,a3,a4,a6] |
Generators |
[22:14:1] |
Generators of the group modulo torsion |
j |
6163195500/70699 |
j-invariant |
L |
8.058348091429 |
L(r)(E,1)/r! |
Ω |
1.4826003450619 |
Real period |
R |
2.7176400282946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83448a2 |
Quadratic twists by: -3 |