Atkin-Lehner |
2- 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20460m |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-1309440 = -1 · 28 · 3 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-57] |
[a1,a2,a3,a4,a6] |
j |
-65536/5115 |
j-invariant |
L |
3.5942738220331 |
L(r)(E,1)/r! |
Ω |
1.198091274011 |
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 |
81840cn1 61380k1 102300c1 |
Quadratic twists by: -4 -3 5 |