Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525w |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2068806831328125 = -1 · 38 · 57 · 74 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84088,-9644083] |
[a1,a2,a3,a4,a6] |
j |
-4208294050801849/132403637205 |
j-invariant |
L |
2.2387315725664 |
L(r)(E,1)/r! |
Ω |
0.1399207232854 |
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 |
64575q2 4305b2 |
Quadratic twists by: -3 5 |