Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312r |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1114130382848 = -1 · 215 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,980,49392] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:57:1] |
Generators of the group modulo torsion |
j |
27000/289 |
j-invariant |
L |
5.1950587153635 |
L(r)(E,1)/r! |
Ω |
0.64065139679485 |
Real period |
R |
4.0545129077272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312q2 26656g2 1088a2 |
Quadratic twists by: -4 8 -7 |