Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100d |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-62259850800 = -1 · 24 · 33 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,12005] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.7581744988374 |
L(r)(E,1)/r! |
Ω |
0.8790872495122 |
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 |
44100d2 44100u1 44100k1 |
Quadratic twists by: -3 5 -7 |