Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bc |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-44315020857945600 = -1 · 29 · 36 · 52 · 73 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54143,11224658] |
[a1,a2,a3,a4,a6] |
Generators |
[18:3193:1] |
Generators of the group modulo torsion |
j |
-51173486752288447/129198311539200 |
j-invariant |
L |
6.6266878735247 |
L(r)(E,1)/r! |
Ω |
0.31832777331533 |
Real period |
R |
0.86738267090051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670c2 |
Quadratic twists by: -7 |