Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110ba |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
19626502500000000 = 28 · 36 · 510 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162963339,-800683517755] |
[a1,a2,a3,a4,a6] |
Generators |
[48326:10182837:1] |
Generators of the group modulo torsion |
j |
656547162459736668851166129/26922500000000 |
j-invariant |
L |
5.2071137867908 |
L(r)(E,1)/r! |
Ω |
0.042254899775565 |
Real period |
R |
6.1615502759455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790m1 |
Quadratic twists by: -3 |