Atkin-Lehner |
2+ 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770l |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
917504 |
Modular degree for the optimal curve |
Δ |
-2727049863521894400 = -1 · 232 · 38 · 52 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33300,-79478064] |
[a1,a2,a3,a4,a6] |
j |
-5601911201812801/3740809140633600 |
j-invariant |
L |
0.45987710418968 |
L(r)(E,1)/r! |
Ω |
0.11496927605462 |
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 |
16590z1 |
Quadratic twists by: -3 |