Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bq |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
382931941817259072 = 26 · 314 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-668786,208564017] |
[a1,a2,a3,a4,a6] |
Generators |
[429:471:1] |
Generators of the group modulo torsion |
j |
1124539551199/13017024 |
j-invariant |
L |
7.1116903465883 |
L(r)(E,1)/r! |
Ω |
0.30199639274067 |
Real period |
R |
1.9624104011222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114g1 27342bd1 |
Quadratic twists by: -3 -7 |