Atkin-Lehner |
3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4845h |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2280618507084075 = -1 · 324 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,31995,656100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:810:1] |
Generators of the group modulo torsion |
j |
3622173152615250479/2280618507084075 |
j-invariant |
L |
2.6799406891176 |
L(r)(E,1)/r! |
Ω |
0.2861633122404 |
Real period |
R |
0.78042286067819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520bx3 14535h4 24225b3 82365d3 |
Quadratic twists by: -4 -3 5 17 |