Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98192b |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
413440 |
Modular degree for the optimal curve |
Δ |
-1404336860734208 = -1 · 28 · 17 · 199 |
Discriminant |
Eigenvalues |
2+ -1 -4 -2 -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9145,-1831099] |
[a1,a2,a3,a4,a6] |
Generators |
[1324:48013:1] |
Generators of the group modulo torsion |
j |
-1024/17 |
j-invariant |
L |
1.1678601504307 |
L(r)(E,1)/r! |
Ω |
0.20619281532017 |
Real period |
R |
2.8319613072728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49096f1 98192a1 |
Quadratic twists by: -4 -19 |