Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20300l |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1299200 = -1 · 28 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,23] |
[a1,a2,a3,a4,a6] |
j |
327680/203 |
j-invariant |
L |
1.6798557488437 |
L(r)(E,1)/r! |
Ω |
1.6798557488437 |
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 |
81200bi1 20300n1 |
Quadratic twists by: -4 5 |