Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11830z |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1230320000 = -1 · 27 · 54 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,120,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[40:240:1] |
Generators of the group modulo torsion |
j |
86938307/560000 |
j-invariant |
L |
8.3178957412231 |
L(r)(E,1)/r! |
Ω |
0.76635443820005 |
Real period |
R |
0.19381874119592 |
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 |
94640cp1 106470cc1 59150f1 82810ce1 |
Quadratic twists by: -4 -3 5 -7 |