Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670l |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
2.512175555149E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13349928,18771756406] |
[a1,a2,a3,a4,a6] |
Generators |
[-3070:177102:1] |
Generators of the group modulo torsion |
j |
10901014250685308569/1040774054400 |
j-invariant |
L |
4.1317131552688 |
L(r)(E,1)/r! |
Ω |
0.20319366912943 |
Real period |
R |
0.72620955539098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360ct2 26010bk2 43350cb2 510a2 |
Quadratic twists by: -4 -3 5 17 |