Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9516a |
Isogeny class |
Conductor |
9516 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-180547175584698624 = -1 · 28 · 34 · 132 · 616 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2652,-20442600] |
[a1,a2,a3,a4,a6] |
Generators |
[902:26650:1] |
Generators of the group modulo torsion |
j |
-8060612743888/705262404627729 |
j-invariant |
L |
4.1981532424226 |
L(r)(E,1)/r! |
Ω |
0.14633806963977 |
Real period |
R |
4.7813409647457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38064bd2 28548g2 123708a2 |
Quadratic twists by: -4 -3 13 |