Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490x |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
190016036338359600 = 24 · 312 · 52 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5258574,4642679268] |
[a1,a2,a3,a4,a6] |
j |
468898230633769/5540400 |
j-invariant |
L |
2.3171105950249 |
L(r)(E,1)/r! |
Ω |
0.28963882437825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830bc2 1710r2 |
Quadratic twists by: -3 -19 |