Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645i |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-79019242366068225 = -1 · 310 · 52 · 134 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,53820,12628525] |
[a1,a2,a3,a4,a6] |
j |
23649541482640319/108394022450025 |
j-invariant |
L |
3.9352569593744 |
L(r)(E,1)/r! |
Ω |
0.2459535599609 |
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 |
7215e4 108225j3 |
Quadratic twists by: -3 5 |