Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120cf |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-44959908600000 = -1 · 26 · 314 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23125,-1383773] |
[a1,a2,a3,a4,a6] |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
1.9320050393915 |
L(r)(E,1)/r! |
Ω |
0.19320050392638 |
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 |
45120bg1 11280t1 |
Quadratic twists by: -4 8 |