Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305t |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.7301874308172E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97711603,-370296559327] |
[a1,a2,a3,a4,a6] |
Generators |
[5706785776171165:-3481760849553950557:15345434125] |
Generators of the group modulo torsion |
j |
173449931524273005841/795225618065025 |
j-invariant |
L |
8.1575864628802 |
L(r)(E,1)/r! |
Ω |
0.048032239600145 |
Real period |
R |
21.229455762229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020673 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3045e5 |
Quadratic twists by: 29 |