Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bb |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1248480000 = -1 · 28 · 33 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-182,1989] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-69:1] |
Generators of the group modulo torsion |
j |
-85003587/160000 |
j-invariant |
L |
8.2694933152341 |
L(r)(E,1)/r! |
Ω |
1.3676452731957 |
Real period |
R |
0.094476861495387 |
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 |
26010a1 26010ba1 |
Quadratic twists by: -3 17 |