Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bb |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-775711622560000 = -1 · 28 · 54 · 78 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,964,-1339640] |
[a1,a2,a3,a4,a6] |
Generators |
[504413:19350192:343] |
Generators of the group modulo torsion |
j |
3286064/25755625 |
j-invariant |
L |
4.4526538760112 |
L(r)(E,1)/r! |
Ω |
0.23318247686844 |
Real period |
R |
9.5475739186389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28420b2 16240s2 |
Quadratic twists by: -4 -7 |