Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182j |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1005312 |
Modular degree for the optimal curve |
Δ |
-4.4755308255262E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32061,321874840] |
[a1,a2,a3,a4,a6] |
Generators |
[-620:10484:1] |
Generators of the group modulo torsion |
j |
-3644478832182567625/44755308255262015488 |
j-invariant |
L |
5.2945044473938 |
L(r)(E,1)/r! |
Ω |
0.16181059500247 |
Real period |
R |
5.4533969662833 |
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 |
84546bt1 |
Quadratic twists by: -3 |