Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344dk |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-1.6212411113363E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,290004,184161328] |
[a1,a2,a3,a4,a6] |
Generators |
[-49857629640:5986939797644:483736625] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
9.934786966266 |
L(r)(E,1)/r! |
Ω |
0.15932702842114 |
Real period |
R |
15.58867168868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344gn1 3042o1 10816t1 97344dn1 |
Quadratic twists by: -4 8 -3 13 |