Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17934z |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-1464550515743616 = -1 · 27 · 313 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-347705,78908409] |
[a1,a2,a3,a4,a6] |
Generators |
[46:7915:1] |
Generators of the group modulo torsion |
j |
-39515579724486529/12448473984 |
j-invariant |
L |
9.6492821655885 |
L(r)(E,1)/r! |
Ω |
0.46844106707294 |
Real period |
R |
0.11317973082109 |
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 |
53802ba1 366d1 |
Quadratic twists by: -3 -7 |