Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970bz |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-62052480 = -1 · 27 · 36 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3677,-84891] |
[a1,a2,a3,a4,a6] |
j |
-7539913083529/85120 |
j-invariant |
L |
4.2917372032923 |
L(r)(E,1)/r! |
Ω |
0.30655265737802 |
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 |
95760fm1 1330b1 59850cb1 83790el1 |
Quadratic twists by: -4 -3 5 -7 |