Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640v |
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 |
[-3:40:1] [5:36:1] |
Generators of the group modulo torsion |
j |
-438976/19375 |
j-invariant |
L |
9.4230843962647 |
L(r)(E,1)/r! |
Ω |
1.3077164678239 |
Real period |
R |
1.8014387346413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640s1 89280ep1 4960e1 |
Quadratic twists by: -4 8 -3 |