Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bc |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-82265463000000 = -1 · 26 · 36 · 56 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-88176,10079998] |
[a1,a2,a3,a4,a6] |
Generators |
[161:-333:1] |
Generators of the group modulo torsion |
j |
-4852301599161073/5264989632 |
j-invariant |
L |
6.0254048367785 |
L(r)(E,1)/r! |
Ω |
0.60558251122697 |
Real period |
R |
0.41457362161293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974d1 |
Quadratic twists by: 5 |