Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dt |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
190808677416960 = 220 · 39 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185868,30835728] |
[a1,a2,a3,a4,a6] |
Generators |
[32780:44704:125] |
Generators of the group modulo torsion |
j |
137627865747/36980 |
j-invariant |
L |
7.8115130034434 |
L(r)(E,1)/r! |
Ω |
0.55366839010547 |
Real period |
R |
7.05432449148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840a2 30960x2 123840ee2 |
Quadratic twists by: -4 8 -3 |