Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cr |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-205838690400000000 = -1 · 211 · 37 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35427,21978754] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:1372:1] [53:-4500:1] |
Generators of the group modulo torsion |
j |
-27995042/1171875 |
j-invariant |
L |
8.8770607210984 |
L(r)(E,1)/r! |
Ω |
0.26326788192916 |
Real period |
R |
0.26342764022481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640be6 11760x6 720c6 |
Quadratic twists by: -4 -3 -7 |