Atkin-Lehner |
2- 5+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20930g |
Isogeny class |
Conductor |
20930 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-2100367360 = -1 · 212 · 5 · 73 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-718,7901] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:115:1] |
Generators of the group modulo torsion |
j |
-40881785820849/2100367360 |
j-invariant |
L |
7.0885655203685 |
L(r)(E,1)/r! |
Ω |
1.4509734604754 |
Real period |
R |
0.1357051683933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650e1 |
Quadratic twists by: 5 |