Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bk |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-1.4577317354678E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6953828,-9139360633] |
[a1,a2,a3,a4,a6] |
Generators |
[947505:75933161:125] |
Generators of the group modulo torsion |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
6.9215905848881 |
L(r)(E,1)/r! |
Ω |
0.045600718789508 |
Real period |
R |
2.1081510362071 |
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 |
8670l1 1530o1 |
Quadratic twists by: -3 17 |