Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ch |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
98797299628500000 = 25 · 38 · 56 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-671517,211431141] |
[a1,a2,a3,a4,a6] |
Generators |
[39:13593:1] |
Generators of the group modulo torsion |
j |
2940001530995593/8673562656 |
j-invariant |
L |
5.019982858384 |
L(r)(E,1)/r! |
Ω |
0.33799479836636 |
Real period |
R |
0.61884370238778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050dc2 3366q2 |
Quadratic twists by: -3 5 |