Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bd |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4683008102920875 = -1 · 38 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13010,-3237125] |
[a1,a2,a3,a4,a6] |
Generators |
[1470:17855:8] [2302:38395:8] |
Generators of the group modulo torsion |
j |
403583419/7761663 |
j-invariant |
L |
10.875568514413 |
L(r)(E,1)/r! |
Ω |
0.2112268513109 |
Real period |
R |
12.871905781734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88725cl2 6825f2 |
Quadratic twists by: 5 13 |