Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008br |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65024 |
Modular degree for the optimal curve |
Δ |
-1584128 = -1 · 210 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -1 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11149,456845] |
[a1,a2,a3,a4,a6] |
Generators |
[61:4:1] [193:2336:1] |
Generators of the group modulo torsion |
j |
-149682302445568/1547 |
j-invariant |
L |
7.8914656424902 |
L(r)(E,1)/r! |
Ω |
1.8704672127417 |
Real period |
R |
2.1094905027787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008t1 24752f1 |
Quadratic twists by: -4 8 |