Atkin-Lehner |
3+ 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16653c |
Isogeny class |
Conductor |
16653 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2640201774483 = -1 · 3 · 72 · 136 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2008,84668] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:346:1] [22:216:1] |
Generators of the group modulo torsion |
j |
-895423225866625/2640201774483 |
j-invariant |
L |
3.9253609766805 |
L(r)(E,1)/r! |
Ω |
0.7127772868459 |
Real period |
R |
0.9178558878351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49959f2 116571p2 |
Quadratic twists by: -3 -7 |