Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bb |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6353046000000000 = 210 · 33 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-385875,-92181250] |
[a1,a2,a3,a4,a6] |
Generators |
[5719:429828:1] |
Generators of the group modulo torsion |
j |
1000188 |
j-invariant |
L |
7.9344690166008 |
L(r)(E,1)/r! |
Ω |
0.19156402931981 |
Real period |
R |
5.1774262141701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200fk2 88200fh2 1800d2 |
Quadratic twists by: -3 5 -7 |