Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208j |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1479601728 = 26 · 37 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-489,3728] |
[a1,a2,a3,a4,a6] |
Generators |
[19:36:1] |
Generators of the group modulo torsion |
j |
277167808/31713 |
j-invariant |
L |
7.5305010000109 |
L(r)(E,1)/r! |
Ω |
1.4623949605279 |
Real period |
R |
1.2873575902783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208g1 32736i1 |
Quadratic twists by: -4 -3 |