Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112c |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5031170801664 = -1 · 217 · 3 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4257,-150495] |
[a1,a2,a3,a4,a6] |
Generators |
[4282:98185:8] |
Generators of the group modulo torsion |
j |
-65106860114/38384787 |
j-invariant |
L |
6.4404302698395 |
L(r)(E,1)/r! |
Ω |
0.28773371251107 |
Real period |
R |
5.5958252296677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112cb2 12264b2 |
Quadratic twists by: -4 8 |