Atkin-Lehner |
2+ 3+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20904b |
Isogeny class |
Conductor |
20904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-2817524736 = -1 · 210 · 35 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,2844] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:52:1] |
Generators of the group modulo torsion |
j |
-868327204/2751489 |
j-invariant |
L |
4.9692432955966 |
L(r)(E,1)/r! |
Ω |
1.25803716225 |
Real period |
R |
0.98749930540789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41808f1 62712i1 |
Quadratic twists by: -4 -3 |