Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440l |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-17459608320 = -1 · 28 · 311 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-4772] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2061:1] |
Generators of the group modulo torsion |
j |
70575104/93555 |
j-invariant |
L |
5.319655697171 |
L(r)(E,1)/r! |
Ω |
0.65620639854784 |
Real period |
R |
4.0533403126057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27720g1 18480y1 |
Quadratic twists by: -4 -3 |