Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305q |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
141502891597265625 = 3 · 58 · 7 · 297 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2742519,1747802701] |
[a1,a2,a3,a4,a6] |
Generators |
[5387012954315693740:-539703229905338946043:528690140056000] |
Generators of the group modulo torsion |
j |
3835168345623889/237890625 |
j-invariant |
L |
8.8103128615622 |
L(r)(E,1)/r! |
Ω |
0.30986851076778 |
Real period |
R |
28.432423971259 |
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 |
3045d4 |
Quadratic twists by: 29 |