Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bt |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8913043062784 = 218 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17836,-905520] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1056:1] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
3.9891147183214 |
L(r)(E,1)/r! |
Ω |
0.41347445627164 |
Real period |
R |
4.8238949925975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999245 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53312o2 13328o2 1088k2 |
Quadratic twists by: -4 8 -7 |