Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192v |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16094490734596096 = -1 · 212 · 174 · 196 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3971,-6104510] |
[a1,a2,a3,a4,a6] |
Generators |
[207:1394:1] [2791:147390:1] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
8.4720800138725 |
L(r)(E,1)/r! |
Ω |
0.17746221850861 |
Real period |
R |
11.93504747643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6137b4 272b4 |
Quadratic twists by: -4 -19 |