Atkin-Lehner |
2- 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18972c |
Isogeny class |
Conductor |
18972 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-903801264624 = -1 · 24 · 38 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -2 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,267,45709] |
[a1,a2,a3,a4,a6] |
Generators |
[-29590:109089:1000] [9:221:1] |
Generators of the group modulo torsion |
j |
180472064/77486391 |
j-invariant |
L |
6.5075327886626 |
L(r)(E,1)/r! |
Ω |
0.68836739505546 |
Real period |
R |
0.26259930523076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75888t1 6324d1 |
Quadratic twists by: -4 -3 |