Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305q |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5963525032030349175 = 34 · 52 · 7 · 2910 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-917549,-317309803] |
[a1,a2,a3,a4,a6] |
Generators |
[5069395:1018071723:125] |
Generators of the group modulo torsion |
j |
143622619359409/10025708175 |
j-invariant |
L |
8.8103128615622 |
L(r)(E,1)/r! |
Ω |
0.15493425538389 |
Real period |
R |
7.1081059928148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045d3 |
Quadratic twists by: 29 |