Atkin-Lehner |
3- 5+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26445h |
Isogeny class |
Conductor |
26445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15616 |
Modular degree for the optimal curve |
Δ |
426425625 = 32 · 54 · 41 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-366,2475] |
[a1,a2,a3,a4,a6] |
Generators |
[3:36:1] |
Generators of the group modulo torsion |
j |
5423019031009/426425625 |
j-invariant |
L |
2.1580399428515 |
L(r)(E,1)/r! |
Ω |
1.6391713846612 |
Real period |
R |
0.65827160083618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79335n1 |
Quadratic twists by: -3 |