Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192q |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.3026156445965E+18 |
Discriminant |
Eigenvalues |
2- -2 0 4 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-652808,-140506508] |
[a1,a2,a3,a4,a6] |
Generators |
[27342060:-2448546758:3375] |
Generators of the group modulo torsion |
j |
159661140625/48275138 |
j-invariant |
L |
3.7236766702594 |
L(r)(E,1)/r! |
Ω |
0.1718959835402 |
Real period |
R |
10.831191605129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274d4 272d4 |
Quadratic twists by: -4 -19 |