Atkin-Lehner |
2- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400bx |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
189440 |
Modular degree for the optimal curve |
Δ |
-16856000000000 = -1 · 212 · 59 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,206250] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:504:1] |
Generators of the group modulo torsion |
j |
-328509/2107 |
j-invariant |
L |
5.3383558549748 |
L(r)(E,1)/r! |
Ω |
0.59806211177663 |
Real period |
R |
2.2315223302097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7525d1 120400ci1 |
Quadratic twists by: -4 5 |