Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640v |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-11038720 = -1 · 212 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1428:1] |
Generators of the group modulo torsion |
j |
4410944/2695 |
j-invariant |
L |
8.4346682264384 |
L(r)(E,1)/r! |
Ω |
1.3169215582629 |
Real period |
R |
3.2024186154125 |
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 |
24640u1 12320a1 123200g1 |
Quadratic twists by: -4 8 5 |