Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10404f |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-26303101488 = -1 · 24 · 39 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 0 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-7803] |
[a1,a2,a3,a4,a6] |
Generators |
[546:4455:8] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.512687265716 |
L(r)(E,1)/r! |
Ω |
0.54532421124926 |
Real period |
R |
4.1376186611796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616bs2 10404f1 10404a2 |
Quadratic twists by: -4 -3 17 |