Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ep |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-736144200000000 = -1 · 29 · 39 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22570,20197] |
[a1,a2,a3,a4,a6] |
Generators |
[19:665:1] |
Generators of the group modulo torsion |
j |
165380805/95744 |
j-invariant |
L |
10.886574293 |
L(r)(E,1)/r! |
Ω |
0.30331480721739 |
Real period |
R |
0.66466662021616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150v1 84150i1 |
Quadratic twists by: -3 5 |