Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cb |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
122926270654687500 = 22 · 310 · 58 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-145089,12995073] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:4479:1] |
Generators of the group modulo torsion |
j |
463341638153914129/168623142187500 |
j-invariant |
L |
6.0204762021885 |
L(r)(E,1)/r! |
Ω |
0.30273180230584 |
Real period |
R |
0.31073689643275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bs3 |
Quadratic twists by: -3 |