Atkin-Lehner |
2+ 3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154x |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2400000 |
Modular degree for the optimal curve |
Δ |
1.6398124983943E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-721845,-133099691] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:563:1] |
Generators of the group modulo torsion |
j |
57059554959491530321/22493998606231264 |
j-invariant |
L |
4.8314343765411 |
L(r)(E,1)/r! |
Ω |
0.1694219061315 |
Real period |
R |
2.8517176423385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906l1 |
Quadratic twists by: -3 |