Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344dc |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.786633319165E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20590284,13610116208] |
[a1,a2,a3,a4,a6] |
Generators |
[2036331606633715081:-674520503601578395995:18527582610181] |
Generators of the group modulo torsion |
j |
476379541/236196 |
j-invariant |
L |
9.3205506159003 |
L(r)(E,1)/r! |
Ω |
0.08279097465225 |
Real period |
R |
28.144826971894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gi2 3042g2 32448r2 97344dg2 |
Quadratic twists by: -4 8 -3 13 |