Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192l |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
75686365546938368 = 218 · 17 · 198 |
Discriminant |
Eigenvalues |
2- 0 4 2 -4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723083,-236292550] |
[a1,a2,a3,a4,a6] |
Generators |
[-94843927825:-115110413010:192100033] |
Generators of the group modulo torsion |
j |
216973458729/392768 |
j-invariant |
L |
8.5030576072718 |
L(r)(E,1)/r! |
Ω |
0.16373809787264 |
Real period |
R |
12.982710978617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274m1 5168d1 |
Quadratic twists by: -4 -19 |