Atkin-Lehner |
5+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106925s |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
83712 |
Modular degree for the optimal curve |
Δ |
1723737925 = 52 · 74 · 13 · 472 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1118,14628] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:164:1] [11:59:1] |
Generators of the group modulo torsion |
j |
6187247841280/68949517 |
j-invariant |
L |
4.9815987961545 |
L(r)(E,1)/r! |
Ω |
1.4984155632844 |
Real period |
R |
0.41557219827801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106925w1 |
Quadratic twists by: 5 |