Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664cj |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7112107512889344 = 216 · 38 · 74 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48891,-922070] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:378:1] |
Generators of the group modulo torsion |
j |
4328356230073/2381830416 |
j-invariant |
L |
6.2793704767966 |
L(r)(E,1)/r! |
Ω |
0.34340611372072 |
Real period |
R |
2.2856940467324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981732 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10458s2 27888bj2 |
Quadratic twists by: -4 -3 |