Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280s |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-271073593440000 = -1 · 28 · 33 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14140,452100] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1230:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
4.3709201507878 |
L(r)(E,1)/r! |
Ω |
0.35785295150123 |
Real period |
R |
3.0535727960684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560z1 60840g1 101400bb1 1560a1 |
Quadratic twists by: -4 -3 5 13 |