Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520bu |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3194700490800 = -1 · 24 · 39 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5508,179307] |
[a1,a2,a3,a4,a6] |
Generators |
[21:270:1] |
Generators of the group modulo torsion |
j |
-58680557568/10144225 |
j-invariant |
L |
5.3723428328254 |
L(r)(E,1)/r! |
Ω |
0.76710575884182 |
Real period |
R |
1.7508481623496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16380a1 65520cf1 |
Quadratic twists by: -4 -3 |