Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312x |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4456521531392 = 217 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9473,-336895] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:48:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
8.137883293615 |
L(r)(E,1)/r! |
Ω |
0.48534187687303 |
Real period |
R |
2.0959151892168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312cg2 6664e2 1088d2 |
Quadratic twists by: -4 8 -7 |