Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
20100b |
Isogeny class |
Conductor |
20100 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-586116000000 = -1 · 28 · 37 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2092,312] |
[a1,a2,a3,a4,a6] |
Generators |
[6013:466244:1] |
Generators of the group modulo torsion |
j |
253012016/146529 |
j-invariant |
L |
4.7901945944193 |
L(r)(E,1)/r! |
Ω |
0.55027343958232 |
Real period |
R |
8.7051168561857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400cx1 60300l1 804d1 |
Quadratic twists by: -4 -3 5 |