Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200et |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1852548213600000000 = 211 · 39 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1356075,-604280250] |
[a1,a2,a3,a4,a6] |
Generators |
[33050710:10258698500:343] |
Generators of the group modulo torsion |
j |
3721734/25 |
j-invariant |
L |
7.2557768285522 |
L(r)(E,1)/r! |
Ω |
0.13996015458828 |
Real period |
R |
12.960432998981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200h2 17640d2 1800n2 |
Quadratic twists by: -3 5 -7 |