Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97006p |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-7597392724723256 = -1 · 23 · 7 · 134 · 416 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,41993,-2568671] |
[a1,a2,a3,a4,a6] |
Generators |
[3900:-70871:27] |
Generators of the group modulo torsion |
j |
286734771892127/266005837496 |
j-invariant |
L |
7.5793037796383 |
L(r)(E,1)/r! |
Ω |
0.22829703424843 |
Real period |
R |
1.8444060517179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97006d2 |
Quadratic twists by: 13 |