Atkin-Lehner |
3+ 7+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17871a |
Isogeny class |
Conductor |
17871 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-62460163647 = -1 · 32 · 7 · 232 · 374 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,238,-11842] |
[a1,a2,a3,a4,a6] |
j |
1490529343967/62460163647 |
j-invariant |
L |
0.53110405243226 |
L(r)(E,1)/r! |
Ω |
0.53110405243226 |
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 |
53613c1 125097j1 |
Quadratic twists by: -3 -7 |