Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bw |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
32486400 |
Modular degree for the optimal curve |
Δ |
-288437564805562368 = -1 · 214 · 315 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 -3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800827025,8722538677839] |
[a1,a2,a3,a4,a6] |
Generators |
[16417:17496:1] |
Generators of the group modulo torsion |
j |
-3466729332466825523374801744/17604831836277 |
j-invariant |
L |
6.3838334796045 |
L(r)(E,1)/r! |
Ω |
0.14866653674354 |
Real period |
R |
1.4313540571458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999431593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112k1 24528i1 |
Quadratic twists by: -4 8 |