Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725c |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-621075 = -1 · 3 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 4 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43,-102] |
[a1,a2,a3,a4,a6] |
Generators |
[8:1:1] |
Generators of the group modulo torsion |
j |
-2129920/147 |
j-invariant |
L |
4.529170805267 |
L(r)(E,1)/r! |
Ω |
0.9267005054564 |
Real period |
R |
2.4437079636677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725ch1 88725q1 |
Quadratic twists by: 5 13 |