Atkin-Lehner |
2+ 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090bp |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-195544567968750 = -1 · 2 · 36 · 58 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7986,612170] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:2265:8] [1:787:1] |
Generators of the group modulo torsion |
j |
77259787831071/268236718750 |
j-invariant |
L |
8.7759692729183 |
L(r)(E,1)/r! |
Ω |
0.40117776972514 |
Real period |
R |
2.7344390489878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010m4 |
Quadratic twists by: -3 |