Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cl |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
27535864139784000 = 26 · 33 · 53 · 74 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1401272,638757371] |
[a1,a2,a3,a4,a6] |
Generators |
[-969:33439:1] |
Generators of the group modulo torsion |
j |
11270079761411151121923/1019846819992000 |
j-invariant |
L |
12.188764640866 |
L(r)(E,1)/r! |
Ω |
0.35816834962238 |
Real period |
R |
1.4179510665743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090d4 |
Quadratic twists by: -3 |