Atkin-Lehner |
2+ 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bk |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
4.1251712159163E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59062419,171969089175] |
[a1,a2,a3,a4,a6] |
Generators |
[-8169:334632:1] |
Generators of the group modulo torsion |
j |
31255746702250544064937009/565867107807442593750 |
j-invariant |
L |
4.6270352997097 |
L(r)(E,1)/r! |
Ω |
0.094628892210492 |
Real period |
R |
4.0747203670956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014783 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
32370be4 |
Quadratic twists by: -3 |