Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312y |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-157354532306944 = -1 · 215 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- -4 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,608609] |
[a1,a2,a3,a4,a6] |
Generators |
[-12271:282024:343] |
Generators of the group modulo torsion |
j |
-392/17 |
j-invariant |
L |
7.7997596682755 |
L(r)(E,1)/r! |
Ω |
0.47851536530018 |
Real period |
R |
8.1499573826557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bb1 26656e1 53312f1 |
Quadratic twists by: -4 8 -7 |