Atkin-Lehner |
2+ 3+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118d |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2766583512 = 23 · 34 · 72 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11- -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-352,-440] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:40:1] [-3:26:1] |
Generators of the group modulo torsion |
j |
4844824797961/2766583512 |
j-invariant |
L |
4.9529368842012 |
L(r)(E,1)/r! |
Ω |
1.1929132154638 |
Real period |
R |
2.0759837429898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354bz2 |
Quadratic twists by: -3 |