Atkin-Lehner |
2- 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920cf |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-31130611200000 = -1 · 212 · 33 · 55 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5915,-201517] |
[a1,a2,a3,a4,a6] |
Generators |
[86:975:1] |
Generators of the group modulo torsion |
j |
5586690166784/7600246875 |
j-invariant |
L |
8.8712807052946 |
L(r)(E,1)/r! |
Ω |
0.35108626757558 |
Real period |
R |
0.56151319102786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7995d1 |
Quadratic twists by: -4 |