Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664bj |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-12095225856 = -1 · 215 · 35 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,5439] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:72:1] [-11:84:1] |
Generators of the group modulo torsion |
j |
-57512456/369117 |
j-invariant |
L |
8.9139035376884 |
L(r)(E,1)/r! |
Ω |
1.0933292450202 |
Real period |
R |
0.20382477598327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664bd1 20832b1 124992bm1 |
Quadratic twists by: -4 8 -3 |