Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616t |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
344448 |
Modular degree for the optimal curve |
Δ |
-20012315252447232 = -1 · 211 · 32 · 113 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44672,-7730592] |
[a1,a2,a3,a4,a6] |
j |
-5901506/11979 |
j-invariant |
L |
2.7755142555405 |
L(r)(E,1)/r! |
Ω |
0.15419523642395 |
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 |
89232a1 44616h1 |
Quadratic twists by: -4 13 |