Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700be |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-105550087500000000 = -1 · 28 · 310 · 511 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100200,-19833500] |
[a1,a2,a3,a4,a6] |
Generators |
[5780:438750:1] |
Generators of the group modulo torsion |
j |
-38153936896/36196875 |
j-invariant |
L |
9.4609471219318 |
L(r)(E,1)/r! |
Ω |
0.12915353870969 |
Real period |
R |
3.0522286135995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900bc1 25740e1 |
Quadratic twists by: -3 5 |