Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640w |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
24 |
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] |
j |
-84309998289049/414124480 |
j-invariant |
L |
3.5839006329679 |
L(r)(E,1)/r! |
Ω |
0.59731677216133 |
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 |
24640bs1 770b1 123200bb1 |
Quadratic twists by: -4 8 5 |