Atkin-Lehner |
7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41209b |
Isogeny class |
Conductor |
41209 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
917280 |
Modular degree for the optimal curve |
Δ |
99442104195999509 = 78 · 297 |
Discriminant |
Eigenvalues |
-2 -2 1 7+ -4 -5 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-673080,211777248] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:20604:1] |
Generators of the group modulo torsion |
j |
9834496/29 |
j-invariant |
L |
0.75343760782383 |
L(r)(E,1)/r! |
Ω |
0.33781085631066 |
Real period |
R |
0.1858627872553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41209j1 1421b1 |
Quadratic twists by: -7 29 |