Atkin-Lehner |
2+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
44240d |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
707840 = 28 · 5 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -1 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68,-212] |
[a1,a2,a3,a4,a6] |
j |
135834624/2765 |
j-invariant |
L |
1.6645993356128 |
L(r)(E,1)/r! |
Ω |
1.6645993354723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22120c1 |
Quadratic twists by: -4 |