Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816cf |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7979160948751466496 = 226 · 312 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-547137,-76307265] |
[a1,a2,a3,a4,a6] |
Generators |
[930:14835:1] |
Generators of the group modulo torsion |
j |
69099171213056977/30438083453184 |
j-invariant |
L |
9.402560993134 |
L(r)(E,1)/r! |
Ω |
0.18280979023344 |
Real period |
R |
4.2861312182754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006405 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90816w2 22704bd2 |
Quadratic twists by: -4 8 |