Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952cb |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
677387176704 = 28 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3087,-52822] |
[a1,a2,a3,a4,a6] |
Generators |
[-2204:7197:64] |
Generators of the group modulo torsion |
j |
81648/17 |
j-invariant |
L |
7.9182669869484 |
L(r)(E,1)/r! |
Ω |
0.64989446208614 |
Real period |
R |
6.0919637203781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29988d1 119952bx1 119952cm1 |
Quadratic twists by: -4 -3 -7 |