Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280w |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4819086105600 = -1 · 210 · 3 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,105600] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:2535:8] |
Generators of the group modulo torsion |
j |
-4/975 |
j-invariant |
L |
6.1789180365969 |
L(r)(E,1)/r! |
Ω |
0.61341795733785 |
Real period |
R |
2.5182332709221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560b1 60840u1 101400g1 1560g1 |
Quadratic twists by: -4 -3 5 13 |