Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bh |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1289367720000 = 26 · 38 · 54 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18338,958817] |
[a1,a2,a3,a4,a6] |
Generators |
[13:843:1] |
Generators of the group modulo torsion |
j |
190407092777/360000 |
j-invariant |
L |
7.2992587219308 |
L(r)(E,1)/r! |
Ω |
0.86050772442042 |
Real period |
R |
0.70687518879694 |
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 |
8670k1 26010bs1 |
Quadratic twists by: -3 17 |