Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520cf |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2433957483794923520 = -1 · 226 · 5 · 72 · 236 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,323348,-25013424] |
[a1,a2,a3,a4,a6] |
j |
14262456319278831/9284810958080 |
j-invariant |
L |
2.35654958526 |
L(r)(E,1)/r! |
Ω |
0.14728434899672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520x2 12880o2 |
Quadratic twists by: -4 8 |