Atkin-Lehner |
3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4845d |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1988090870685 = 3 · 5 · 178 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3260,21680] |
[a1,a2,a3,a4,a6] |
j |
3831641236232641/1988090870685 |
j-invariant |
L |
1.4597538470414 |
L(r)(E,1)/r! |
Ω |
0.7298769235207 |
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 |
77520ct3 14535g3 24225k3 82365k3 |
Quadratic twists by: -4 -3 5 17 |