Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bk |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1838889000000 = 26 · 33 · 56 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3257,-28519] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:184:1] |
Generators of the group modulo torsion |
j |
141477771269043/68107000000 |
j-invariant |
L |
10.364218720903 |
L(r)(E,1)/r! |
Ω |
0.6630220187563 |
Real period |
R |
2.6052977698349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
36270e3 |
Quadratic twists by: -3 |