Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946t |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-9760730938715076 = -1 · 22 · 3 · 179 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -6 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15612,-4818783] |
[a1,a2,a3,a4,a6] |
Generators |
[477:-10065:1] |
Generators of the group modulo torsion |
j |
-17434421857/404379204 |
j-invariant |
L |
4.5931013721129 |
L(r)(E,1)/r! |
Ω |
0.17668105892656 |
Real period |
R |
1.0831903827199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838t2 1938i2 |
Quadratic twists by: -3 17 |