Atkin-Lehner |
2- 3+ 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706q |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1494189353664 = -1 · 26 · 34 · 7 · 175 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1029,-60597] |
[a1,a2,a3,a4,a6] |
j |
-120502543701457/1494189353664 |
j-invariant |
L |
4.3471858032585 |
L(r)(E,1)/r! |
Ω |
0.36226548360488 |
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 |
62118n1 |
Quadratic twists by: -3 |