Atkin-Lehner |
2- 3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226y |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
1168128 |
Modular degree for the optimal curve |
Δ |
-4.2568116971468E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 0 5 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1648993,566236167] |
[a1,a2,a3,a4,a6] |
Generators |
[275:32118:1] |
Generators of the group modulo torsion |
j |
680225434775882741591/583924786988580864 |
j-invariant |
L |
9.6161360651163 |
L(r)(E,1)/r! |
Ω |
0.10887223856554 |
Real period |
R |
1.1323712760108 |
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 |
8742b1 |
Quadratic twists by: -3 |