Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090de |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
368238356423437500 = 22 · 37 · 58 · 73 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2193053,1250240937] |
[a1,a2,a3,a4,a6] |
Generators |
[1023:-9262:1] |
Generators of the group modulo torsion |
j |
1600086203685293756041/505128060937500 |
j-invariant |
L |
9.983150830845 |
L(r)(E,1)/r! |
Ω |
0.29555440935173 |
Real period |
R |
1.4074045406708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030e4 |
Quadratic twists by: -3 |