Atkin-Lehner |
2- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770t |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
10152036604160 = 28 · 5 · 118 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7565,-202223] |
[a1,a2,a3,a4,a6] |
j |
27027009001/5730560 |
j-invariant |
L |
4.1567332006914 |
L(r)(E,1)/r! |
Ω |
0.51959165009867 |
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 |
4070b1 |
Quadratic twists by: -11 |