Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798g |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-4665925125012542 = -1 · 2 · 238 · 313 |
Discriminant |
Eigenvalues |
2- 1 0 -1 -3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-115333,-15439409] |
[a1,a2,a3,a4,a6] |
j |
-2166516625/59582 |
j-invariant |
L |
3.4917283202269 |
L(r)(E,1)/r! |
Ω |
0.1293232711197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32798f2 |
Quadratic twists by: -23 |