Atkin-Lehner |
2- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776u |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-7.819133174099E+22 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1189727,13443894849] |
[a1,a2,a3,a4,a6] |
Generators |
[1737308214873123420:1111327929826594342973:9506032653445056] |
Generators of the group modulo torsion |
j |
710436683544572375/298276259387932672 |
j-invariant |
L |
9.7739295618005 |
L(r)(E,1)/r! |
Ω |
0.084396695687248 |
Real period |
R |
28.952346646165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83776r1 20944h1 |
Quadratic twists by: -4 8 |