Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686dm |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-6253023643776 = -1 · 27 · 33 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4605,-2367] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1839:1] |
Generators of the group modulo torsion |
j |
41781923/24192 |
j-invariant |
L |
12.775170863638 |
L(r)(E,1)/r! |
Ω |
0.44876874180794 |
Real period |
R |
0.16944737150313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098t1 49686bs1 |
Quadratic twists by: -7 13 |