Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
600a |
Isogeny class |
Conductor |
600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-37500000000000 = -1 · 211 · 3 · 514 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2008,-295988] |
[a1,a2,a3,a4,a6] |
Generators |
[561:13222:1] |
Generators of the group modulo torsion |
j |
-27995042/1171875 |
j-invariant |
L |
1.8182269342928 |
L(r)(E,1)/r! |
Ω |
0.2838675502573 |
Real period |
R |
6.4051947207237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1200e6 4800r6 1800r6 120a6 |
Quadratic twists by: -4 8 -3 5 |