Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280z |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
720435416400000000 = 210 · 37 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-289443,-43871758] |
[a1,a2,a3,a4,a6] |
Generators |
[-371:3528:1] |
Generators of the group modulo torsion |
j |
30534944836/8203125 |
j-invariant |
L |
5.5779447190963 |
L(r)(E,1)/r! |
Ω |
0.20996373911023 |
Real period |
R |
1.6603892958894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640by4 11760j4 5040o4 |
Quadratic twists by: -4 -3 -7 |