Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640s |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-903960000 = -1 · 26 · 36 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,-1456] |
[a1,a2,a3,a4,a6] |
Generators |
[53:380:1] |
Generators of the group modulo torsion |
j |
-438976/19375 |
j-invariant |
L |
7.0331098368702 |
L(r)(E,1)/r! |
Ω |
0.68914476232888 |
Real period |
R |
2.5513905863246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640v1 89280ee1 4960c1 |
Quadratic twists by: -4 8 -3 |