Atkin-Lehner |
5+ 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20735d |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62784 |
Modular degree for the optimal curve |
Δ |
963659125 = 53 · 112 · 133 · 29 |
Discriminant |
Eigenvalues |
0 1 5+ -1 11+ 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-694551,222563071] |
[a1,a2,a3,a4,a6] |
j |
37054141891768362041344/963659125 |
j-invariant |
L |
0.54887683290834 |
L(r)(E,1)/r! |
Ω |
0.82331524936252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
103675a1 |
Quadratic twists by: 5 |