Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640x |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1114087673036800 = -1 · 230 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3585,1609217] |
[a1,a2,a3,a4,a6] |
j |
-19443408769/4249907200 |
j-invariant |
L |
4.7895045910528 |
L(r)(E,1)/r! |
Ω |
0.39912538258774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640bt1 770f1 123200bf1 |
Quadratic twists by: -4 8 5 |