Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930df |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
18768960 = 26 · 32 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106,356] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:26:1] |
Generators of the group modulo torsion |
j |
384240583/54720 |
j-invariant |
L |
8.8114898844974 |
L(r)(E,1)/r! |
Ω |
2.0891362846362 |
Real period |
R |
0.70296115108259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790cl1 27930co1 |
Quadratic twists by: -3 -7 |