Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504k |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20417651712 = 210 · 32 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3384,74340] |
[a1,a2,a3,a4,a6] |
j |
4186423406308/19939113 |
j-invariant |
L |
2.4416401995632 |
L(r)(E,1)/r! |
Ω |
1.2208200997816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7752g3 62016ch3 46512f3 |
Quadratic twists by: -4 8 -3 |