Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110r |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-39886474567736160 = -1 · 25 · 39 · 5 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70194,-11987804] |
[a1,a2,a3,a4,a6] |
Generators |
[1196:39591:1] |
Generators of the group modulo torsion |
j |
-6634840273369/6918968160 |
j-invariant |
L |
4.1978967825924 |
L(r)(E,1)/r! |
Ω |
0.14080073789526 |
Real period |
R |
3.3127168423689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57330es1 95550fz1 19110g1 |
Quadratic twists by: -3 5 -7 |