Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bv |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
10814889960000 = 26 · 38 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5927,-74721] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:336:1] |
Generators of the group modulo torsion |
j |
31581464799529/14835240000 |
j-invariant |
L |
7.8401866162877 |
L(r)(E,1)/r! |
Ω |
0.56954952195579 |
Real period |
R |
0.57356635332349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6090a2 91350cd2 127890fg2 |
Quadratic twists by: -3 5 -7 |