Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880by |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
161663040 = 26 · 38 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1137,-14744] |
[a1,a2,a3,a4,a6] |
Generators |
[3140:13959:64] |
Generators of the group modulo torsion |
j |
3484156096/3465 |
j-invariant |
L |
8.8008174553419 |
L(r)(E,1)/r! |
Ω |
0.82221495023026 |
Real period |
R |
5.3518957872594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880bs1 36960bp1 |
Quadratic twists by: -4 -3 |