Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648bb |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
690764544 = 28 · 33 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10524,412056] |
[a1,a2,a3,a4,a6] |
Generators |
[651:16428:1] |
Generators of the group modulo torsion |
j |
503578907672272/2698299 |
j-invariant |
L |
8.3652064832211 |
L(r)(E,1)/r! |
Ω |
1.428708446419 |
Real period |
R |
3.9033885756574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32412b2 |
Quadratic twists by: -4 |