Atkin-Lehner |
3+ 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465f |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-785514662887543875 = -1 · 33 · 53 · 118 · 13 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,145849,36921224] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:4109:1] |
Generators of the group modulo torsion |
j |
343110408844444564751/785514662887543875 |
j-invariant |
L |
2.6981980997562 |
L(r)(E,1)/r! |
Ω |
0.19711851787895 |
Real period |
R |
3.422050511528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109395w3 |
Quadratic twists by: -3 |