Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gl |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-12956137920000 = -1 · 29 · 39 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101930,12552297] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-205:1] [233:1071:1] |
Generators of the group modulo torsion |
j |
-257050376715625/28435968 |
j-invariant |
L |
15.043667833613 |
L(r)(E,1)/r! |
Ω |
0.68112763893729 |
Real period |
R |
0.10225192219479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050v1 84150bs1 |
Quadratic twists by: -3 5 |