Atkin-Lehner |
2+ 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bi |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
1.0989377909172E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20450079,35241103053] |
[a1,a2,a3,a4,a6] |
Generators |
[1707:71979:1] |
Generators of the group modulo torsion |
j |
1297421725334355322825969/15074592468000000000 |
j-invariant |
L |
5.5308110806956 |
L(r)(E,1)/r! |
Ω |
0.12838264920881 |
Real period |
R |
2.3933707893421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930397 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32370bc2 |
Quadratic twists by: -3 |