Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800bd |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-133120000000000 = -1 · 220 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40833,3210463] |
[a1,a2,a3,a4,a6] |
j |
-2941225/52 |
j-invariant |
L |
1.1700283458563 |
L(r)(E,1)/r! |
Ω |
0.58501417292813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800dd1 650i1 20800bm1 |
Quadratic twists by: -4 8 5 |