Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640k |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
224182080 = 26 · 36 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:18:1] [13:10:1] |
Generators of the group modulo torsion |
j |
8489664/4805 |
j-invariant |
L |
8.2621545677514 |
L(r)(E,1)/r! |
Ω |
1.4639834442481 |
Real period |
R |
2.8218060116098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bm1 89280cf2 4960f1 |
Quadratic twists by: -4 8 -3 |