Atkin-Lehner |
2- 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bd |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
683575345152 = 218 · 36 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4193,98049] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:448:1] [-25:432:1] |
Generators of the group modulo torsion |
j |
31107273625/2607633 |
j-invariant |
L |
9.837570106284 |
L(r)(E,1)/r! |
Ω |
0.8847932944777 |
Real period |
R |
2.7796238310712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112y1 24528n1 |
Quadratic twists by: -4 8 |