Atkin-Lehner |
2- 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96900m |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-9477637593750000 = -1 · 24 · 32 · 59 · 173 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 0 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8342,4671937] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:969:1] [72:-2375:1] |
Generators of the group modulo torsion |
j |
256768768256/37910550375 |
j-invariant |
L |
7.8585558636227 |
L(r)(E,1)/r! |
Ω |
0.31528063696197 |
Real period |
R |
0.11539624957659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19380j2 |
Quadratic twists by: 5 |