Atkin-Lehner |
2+ 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166c |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45504 |
Modular degree for the optimal curve |
Δ |
-2001219584 = -1 · 212 · 72 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -4 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,135,2076] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:35:1] [27:146:1] |
Generators of the group modulo torsion |
j |
5612355623/40841216 |
j-invariant |
L |
9.9438390706762 |
L(r)(E,1)/r! |
Ω |
1.0731160355146 |
Real period |
R |
2.3165805797342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166b1 |
Quadratic twists by: -7 |