Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660n |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2108967840000 = -1 · 28 · 38 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,69806] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-270:1] |
Generators of the group modulo torsion |
j |
35969456/11300625 |
j-invariant |
L |
6.3275858484463 |
L(r)(E,1)/r! |
Ω |
0.63989991009895 |
Real period |
R |
0.41201663914761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220a2 |
Quadratic twists by: -3 |