Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bl |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
55677639491223750 = 2 · 310 · 54 · 74 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-673974,212833030] |
[a1,a2,a3,a4,a6] |
Generators |
[401:-2833:1] [-691:19007:1] |
Generators of the group modulo torsion |
j |
46443610620125697889/76375362813750 |
j-invariant |
L |
8.7744651861426 |
L(r)(E,1)/r! |
Ω |
0.35318621752638 |
Real period |
R |
0.77636675348517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bc4 |
Quadratic twists by: -3 |