Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544bx |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-37456801323024384 = -1 · 219 · 36 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,75636,4754160] |
[a1,a2,a3,a4,a6] |
Generators |
[1165:40915:1] |
Generators of the group modulo torsion |
j |
250404380127/196003234 |
j-invariant |
L |
8.0095839675238 |
L(r)(E,1)/r! |
Ω |
0.23461893545805 |
Real period |
R |
4.2673367089521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544dl3 2142h4 7616e4 |
Quadratic twists by: -4 8 -3 |