Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800w |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2988900000000 = 28 · 36 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49575,-4247750] |
[a1,a2,a3,a4,a6] |
Generators |
[9995:999000:1] |
Generators of the group modulo torsion |
j |
4620876496/1025 |
j-invariant |
L |
6.4204878241733 |
L(r)(E,1)/r! |
Ω |
0.31995555512394 |
Real period |
R |
5.016702883777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8200h2 14760r2 |
Quadratic twists by: -3 5 |