Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200be |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
101756250000000000 = 210 · 35 · 514 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8688408,9854402688] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:144:1] |
Generators of the group modulo torsion |
j |
4533403753711490116/6359765625 |
j-invariant |
L |
7.2135934203443 |
L(r)(E,1)/r! |
Ω |
0.28529225246562 |
Real period |
R |
2.5284925748966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400g4 120600g4 8040b4 |
Quadratic twists by: -4 -3 5 |