Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825b |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-81348998486328125 = -1 · 511 · 78 · 172 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-815876,283914523] |
[a1,a2,a3,a4,a6] |
Generators |
[337:6706:1] |
Generators of the group modulo torsion |
j |
-666793065841/903125 |
j-invariant |
L |
6.7894825212035 |
L(r)(E,1)/r! |
Ω |
0.3416131661359 |
Real period |
R |
2.4843460360448 |
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 |
4165h1 20825p1 |
Quadratic twists by: 5 -7 |