Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bc |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-481926793632183900 = -1 · 22 · 37 · 52 · 73 · 113 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,190890,-9271584] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1701:1] |
Generators of the group modulo torsion |
j |
1055223459848507039/661079277959100 |
j-invariant |
L |
4.2495263912681 |
L(r)(E,1)/r! |
Ω |
0.16989136046936 |
Real period |
R |
1.0422166238565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999720669 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
30030cd3 |
Quadratic twists by: -3 |