Atkin-Lehner |
2- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
11620g |
Isogeny class |
Conductor |
11620 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2315668460000000 = -1 · 28 · 57 · 75 · 832 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47045,-4574857] |
[a1,a2,a3,a4,a6] |
j |
-44981444389175296/9045579921875 |
j-invariant |
L |
2.2448690384305 |
L(r)(E,1)/r! |
Ω |
0.16034778845932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46480u1 104580j1 58100h1 81340c1 |
Quadratic twists by: -4 -3 5 -7 |