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 |
1.8676697602595E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6911085324,-221140096906768] |
[a1,a2,a3,a4,a6] |
Generators |
[969971910795612104612720668212632613642285353719343056768468701490076404110110722125360913:-230831698751265571463394965709330029654750529408132436727544959938077622098703627694122640115:7719893015246428542772372082144174611540900131470346122878073887377768871059947892397] |
Generators of the group modulo torsion |
j |
18013780041269221/9216 |
j-invariant |
L |
9.3205506159003 |
L(r)(E,1)/r! |
Ω |
0.01655819493045 |
Real period |
R |
140.72413471169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gi4 3042g4 32448r4 97344dg4 |
Quadratic twists by: -4 8 -3 13 |