Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200bb |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-90870848000000000 = -1 · 215 · 59 · 175 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 -4 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-544300,155242000] |
[a1,a2,a3,a4,a6] |
Generators |
[-715:13375:1] [4410:-289000:1] |
Generators of the group modulo torsion |
j |
-34831225434312/177482125 |
j-invariant |
L |
4.7339000168227 |
L(r)(E,1)/r! |
Ω |
0.34092961091775 |
Real period |
R |
0.17356588666795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200ba1 13600g1 5440f1 |
Quadratic twists by: -4 8 5 |