Atkin-Lehner |
2+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080m |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
485376 |
Modular degree for the optimal curve |
Δ |
66693186560 = 210 · 5 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-443080,-113372160] |
[a1,a2,a3,a4,a6] |
Generators |
[-86721811932:-21113308:225866529] |
Generators of the group modulo torsion |
j |
9394446051303778084/65130065 |
j-invariant |
L |
10.211982828267 |
L(r)(E,1)/r! |
Ω |
0.18504567391895 |
Real period |
R |
13.79657061363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040q1 |
Quadratic twists by: -4 |