Atkin-Lehner |
2+ 3+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36984a |
Isogeny class |
Conductor |
36984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
-9467904 = -1 · 211 · 3 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 3 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,1036] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:14:1] |
Generators of the group modulo torsion |
j |
-338224754/4623 |
j-invariant |
L |
7.2747670483253 |
L(r)(E,1)/r! |
Ω |
2.3098869781949 |
Real period |
R |
3.1494038959477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73968a1 110952e1 |
Quadratic twists by: -4 -3 |