Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280u |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2736666777600 = 211 · 35 · 52 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-507920,-139159668] |
[a1,a2,a3,a4,a6] |
Generators |
[10846210:-1127024969:1000] |
Generators of the group modulo torsion |
j |
7075881596303120162/1336263075 |
j-invariant |
L |
4.63573789753 |
L(r)(E,1)/r! |
Ω |
0.17883423440949 |
Real period |
R |
12.960991257431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560t2 |
Quadratic twists by: -4 |