Atkin-Lehner |
3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4485b |
Isogeny class |
Conductor |
4485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
609815340249375 = 3 · 54 · 133 · 236 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28815,1448430] |
[a1,a2,a3,a4,a6] |
j |
2645943253854280561/609815340249375 |
j-invariant |
L |
0.96889001837952 |
L(r)(E,1)/r! |
Ω |
0.48444500918976 |
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 |
71760bz2 13455d2 22425p2 58305b2 |
Quadratic twists by: -4 -3 5 13 |