Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100ce |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-300181423500000000 = -1 · 28 · 36 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58800,-26925500] |
[a1,a2,a3,a4,a6] |
j |
-65536/875 |
j-invariant |
L |
1.5742847676701 |
L(r)(E,1)/r! |
Ω |
0.13119039731276 |
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 |
4900f1 8820bb1 6300h1 |
Quadratic twists by: -3 5 -7 |