Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344do |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0259416407675E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34194108,-76961613040] |
[a1,a2,a3,a4,a6] |
Generators |
[-593615799902656292100297430:62596022880935039112463653:175743320996708013977000] |
Generators of the group modulo torsion |
j |
34909201168/81 |
j-invariant |
L |
10.044831490611 |
L(r)(E,1)/r! |
Ω |
0.062432653752619 |
Real period |
R |
40.222667480136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gq2 12168k2 32448v2 97344dp2 |
Quadratic twists by: -4 8 -3 13 |