Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798k |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3973758681515536 = -1 · 24 · 234 · 316 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,32258,2058324] |
[a1,a2,a3,a4,a6] |
Generators |
[188:3750:1] [2:1456:1] |
Generators of the group modulo torsion |
j |
13265506579007/14200058896 |
j-invariant |
L |
6.7747875538142 |
L(r)(E,1)/r! |
Ω |
0.29172977630285 |
Real period |
R |
0.96761742431542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32798j2 |
Quadratic twists by: -23 |