Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bi |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-2.3627664786449E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,475527,-728662244] |
[a1,a2,a3,a4,a6] |
Generators |
[950:23622:1] |
Generators of the group modulo torsion |
j |
55476504148439/1102248000000 |
j-invariant |
L |
5.573480639258 |
L(r)(E,1)/r! |
Ω |
0.085618223190533 |
Real period |
R |
3.6164942666826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76230dt1 127050fd1 25410cs1 |
Quadratic twists by: -3 5 -11 |