Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
3550b |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
11184718750 = 2 · 56 · 713 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1450,-21250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:25:1] |
Generators of the group modulo torsion |
j |
21601086625/715822 |
j-invariant |
L |
2.185760833045 |
L(r)(E,1)/r! |
Ω |
0.77517681364137 |
Real period |
R |
1.4098466276213 |
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 |
28400q2 113600b2 31950cj2 142d2 |
Quadratic twists by: -4 8 -3 5 |