Atkin-Lehner |
3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27825v |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82368 |
Modular degree for the optimal curve |
Δ |
-24620533875 = -1 · 33 · 53 · 72 · 533 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 0 -2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-31088,-2120191] |
[a1,a2,a3,a4,a6] |
Generators |
[2666:39707:8] |
Generators of the group modulo torsion |
j |
-26583124095291392/196964271 |
j-invariant |
L |
12.419640576178 |
L(r)(E,1)/r! |
Ω |
0.17977115387422 |
Real period |
R |
5.7571530565967 |
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 |
83475bl1 27825i1 |
Quadratic twists by: -3 5 |