Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20496y |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-73471474040832 = -1 · 215 · 37 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-632416,-193787788] |
[a1,a2,a3,a4,a6] |
j |
-6829249786786129249/17937371592 |
j-invariant |
L |
5.9253875564843 |
L(r)(E,1)/r! |
Ω |
0.084648393664062 |
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 |
2562i1 81984ce1 61488br1 |
Quadratic twists by: -4 8 -3 |