Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200bj |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-601526000000000 = -1 · 210 · 59 · 673 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36833,-2953463] |
[a1,a2,a3,a4,a6] |
Generators |
[14376:305587:27] |
Generators of the group modulo torsion |
j |
-2763228416/300763 |
j-invariant |
L |
6.0246031984407 |
L(r)(E,1)/r! |
Ω |
0.17125782698792 |
Real period |
R |
5.8630928279906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cy1 13400p1 107200bc1 |
Quadratic twists by: -4 8 5 |