Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490ba |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-52679342974464000 = -1 · 212 · 37 · 53 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43929,-11586515] |
[a1,a2,a3,a4,a6] |
Generators |
[2662:24661:8] [461:-8353:1] |
Generators of the group modulo torsion |
j |
-273359449/1536000 |
j-invariant |
L |
6.1996435725813 |
L(r)(E,1)/r! |
Ω |
0.14799213095244 |
Real period |
R |
3.4909759124138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830v3 90c3 |
Quadratic twists by: -3 -19 |