Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832r |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
6124608 = 26 · 32 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3542,79968] |
[a1,a2,a3,a4,a6] |
Generators |
[42:84:1] |
Generators of the group modulo torsion |
j |
76808983160512/95697 |
j-invariant |
L |
7.3058606433162 |
L(r)(E,1)/r! |
Ω |
2.0194041175385 |
Real period |
R |
1.2059433077089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20832e1 41664cw1 62496bt1 |
Quadratic twists by: -4 8 -3 |