Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870l |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1101622080600 = -1 · 23 · 39 · 52 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1311,-46964] |
[a1,a2,a3,a4,a6] |
Generators |
[98:963:1] |
Generators of the group modulo torsion |
j |
891449111/3936600 |
j-invariant |
L |
4.1482260428736 |
L(r)(E,1)/r! |
Ω |
0.44006269982119 |
Real period |
R |
1.5710738661253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126960bc1 47610ch1 79350cg1 15870q1 |
Quadratic twists by: -4 -3 5 -23 |