Atkin-Lehner |
3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bf |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5126388872923828125 = 312 · 59 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34301938,-77328880633] |
[a1,a2,a3,a4,a6] |
Generators |
[-3379:1805:1] |
Generators of the group modulo torsion |
j |
285666727550734603062361/328088887867125 |
j-invariant |
L |
5.3875120537829 |
L(r)(E,1)/r! |
Ω |
0.062383526304062 |
Real period |
R |
1.7991902886585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635j3 |
Quadratic twists by: 5 |