Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bk |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-29522162070777870 = -1 · 2 · 39 · 5 · 132 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-216407,-39566339] |
[a1,a2,a3,a4,a6] |
Generators |
[356689956:3922572919:592704] |
Generators of the group modulo torsion |
j |
-56943538625741067/1499881220890 |
j-invariant |
L |
10.364218720903 |
L(r)(E,1)/r! |
Ω |
0.11050366979272 |
Real period |
R |
15.631786619009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36270e2 |
Quadratic twists by: -3 |