Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600be |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
39106888581250000 = 24 · 58 · 7 · 197 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -1 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2479083,1501540838] |
[a1,a2,a3,a4,a6] |
Generators |
[883:1325:1] |
Generators of the group modulo torsion |
j |
269598251793909760/6257102173 |
j-invariant |
L |
5.7203581656089 |
L(r)(E,1)/r! |
Ω |
0.3366157922861 |
Real period |
R |
2.8322884708605 |
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 |
53200bd1 26600e1 |
Quadratic twists by: -4 5 |