Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600c |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-79215472000000 = -1 · 210 · 56 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3275,-434250] |
[a1,a2,a3,a4,a6] |
Generators |
[119:928:1] [126:1074:1] |
Generators of the group modulo torsion |
j |
-242793828/4950967 |
j-invariant |
L |
8.4431835321346 |
L(r)(E,1)/r! |
Ω |
0.26318886256991 |
Real period |
R |
8.0200805703662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200o3 1624e4 |
Quadratic twists by: -4 5 |