Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946j |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-838395415367526528 = -1 · 27 · 32 · 1710 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,98109,-42427970] |
[a1,a2,a3,a4,a6] |
Generators |
[22425442:2255504360:2197] |
Generators of the group modulo torsion |
j |
4326762872375/34734045312 |
j-invariant |
L |
4.8750596574044 |
L(r)(E,1)/r! |
Ω |
0.13985099934983 |
Real period |
R |
8.7147386862962 |
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 |
98838bk2 1938c2 |
Quadratic twists by: -3 17 |