Atkin-Lehner |
2- 3- 7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118t |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
503808 |
Modular degree for the optimal curve |
Δ |
-76958205824195388 = -1 · 22 · 316 · 73 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-528618,148488480] |
[a1,a2,a3,a4,a6] |
j |
-16336145963091373854625/76958205824195388 |
j-invariant |
L |
5.530256784272 |
L(r)(E,1)/r! |
Ω |
0.34564104902479 |
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 |
123354m1 |
Quadratic twists by: -3 |