Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25840z |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-516800000000 = -1 · 212 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -4 2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4885,134275] |
[a1,a2,a3,a4,a6] |
Generators |
[30:125:1] |
Generators of the group modulo torsion |
j |
-3148084412416/126171875 |
j-invariant |
L |
5.6276465953495 |
L(r)(E,1)/r! |
Ω |
0.92066910239402 |
Real period |
R |
0.76407019915135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1615b1 103360bs1 129200ca1 |
Quadratic twists by: -4 8 5 |