Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200t |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
157300000000 = 28 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 11- 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11833,-499037] |
[a1,a2,a3,a4,a6] |
Generators |
[-1734:325:27] |
Generators of the group modulo torsion |
j |
1832504320/1573 |
j-invariant |
L |
8.7538275983571 |
L(r)(E,1)/r! |
Ω |
0.45776771493266 |
Real period |
R |
3.1871432143456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600j1 57200m1 |
Quadratic twists by: -4 5 |