Atkin-Lehner |
2+ 3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378a |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2572609670496 = 25 · 39 · 432 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3471,16397] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:2519:8] |
Generators of the group modulo torsion |
j |
234999338211/130702112 |
j-invariant |
L |
5.4048201064633 |
L(r)(E,1)/r! |
Ω |
0.70312376183631 |
Real period |
R |
3.8434343993355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36378g2 |
Quadratic twists by: -3 |