Atkin-Lehner |
3+ 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45315b |
Isogeny class |
Conductor |
45315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3398768421975 = 39 · 52 · 194 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6617,188866] |
[a1,a2,a3,a4,a6] |
j |
1627624771947/172675325 |
j-invariant |
L |
1.538130254177 |
L(r)(E,1)/r! |
Ω |
0.76906512706585 |
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 |
45315a2 |
Quadratic twists by: -3 |