Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600k |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-153055008000000 = -1 · 211 · 314 · 56 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3525,-589750] |
[a1,a2,a3,a4,a6] |
j |
207646/6561 |
j-invariant |
L |
2.2272397836272 |
L(r)(E,1)/r! |
Ω |
0.27840497295339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1800s6 14400ds6 1200a6 144b6 |
Quadratic twists by: -4 8 -3 5 |