Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20300n |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-20300000000 = -1 · 28 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,1537] |
[a1,a2,a3,a4,a6] |
j |
327680/203 |
j-invariant |
L |
2.253762988085 |
L(r)(E,1)/r! |
Ω |
0.75125432936165 |
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 |
81200ck1 20300l1 |
Quadratic twists by: -4 5 |