Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
46728q |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
323751022848 = 28 · 311 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42879,3417442] |
[a1,a2,a3,a4,a6] |
Generators |
[101:342:1] |
Generators of the group modulo torsion |
j |
46718636988112/1734777 |
j-invariant |
L |
7.3974049423618 |
L(r)(E,1)/r! |
Ω |
0.90339503944303 |
Real period |
R |
2.0471124534064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456f1 15576c1 |
Quadratic twists by: -4 -3 |