Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698o |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1003520 |
Modular degree for the optimal curve |
Δ |
5.1678753733175E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2021157,1051014933] |
[a1,a2,a3,a4,a6] |
Generators |
[1338:-27885:1] |
Generators of the group modulo torsion |
j |
1252553990449987212625/70889922816427008 |
j-invariant |
L |
4.6450028762162 |
L(r)(E,1)/r! |
Ω |
0.19689032899697 |
Real period |
R |
0.73724464081678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566s1 |
Quadratic twists by: -3 |