Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bs |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-108560247685120 = -1 · 224 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58465,-5483745] |
[a1,a2,a3,a4,a6] |
Generators |
[12658237:-539009536:6859] |
Generators of the group modulo torsion |
j |
-84309998289049/414124480 |
j-invariant |
L |
3.180884209996 |
L(r)(E,1)/r! |
Ω |
0.15346783067904 |
Real period |
R |
10.363358222768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640w1 6160f1 123200fn1 |
Quadratic twists by: -4 8 5 |