Atkin-Lehner |
2+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
52520a |
Isogeny class |
Conductor |
52520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-33612800 = -1 · 210 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216,1184] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
-1093437796/32825 |
j-invariant |
L |
4.2994438874596 |
L(r)(E,1)/r! |
Ω |
2.0638924635813 |
Real period |
R |
0.5207931085688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105040a1 |
Quadratic twists by: -4 |