Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400bx |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-592659434188800 = -1 · 212 · 33 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8720493,9909056763] |
[a1,a2,a3,a4,a6] |
Generators |
[3777:175692:1] |
Generators of the group modulo torsion |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
5.6005527728026 |
L(r)(E,1)/r! |
Ω |
0.35713398541903 |
Real period |
R |
1.3068281096779 |
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 |
26400bk1 52800fd1 79200bs1 26400m1 |
Quadratic twists by: -4 8 -3 5 |