Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bp |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1275791575781250 = 2 · 38 · 58 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32292,-1418634] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:633:1] |
Generators of the group modulo torsion |
j |
326940373369/112003650 |
j-invariant |
L |
5.0419214102939 |
L(r)(E,1)/r! |
Ω |
0.36606402917925 |
Real period |
R |
1.7216665027492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050dg2 16830ck2 |
Quadratic twists by: -3 5 |