Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192x |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7.0699878898934E+20 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5273608,-4484104716] |
[a1,a2,a3,a4,a6] |
Generators |
[-1172:9386:1] [6542:490960:1] |
Generators of the group modulo torsion |
j |
84171637140625/3668910488 |
j-invariant |
L |
7.4223277035957 |
L(r)(E,1)/r! |
Ω |
0.099894391570911 |
Real period |
R |
3.0959060810327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274h2 5168j2 |
Quadratic twists by: -4 -19 |