Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150y |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1585152 |
Modular degree for the optimal curve |
Δ |
-1.0364528312127E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1303872,-593298964] |
[a1,a2,a3,a4,a6] |
Generators |
[1379:14463:1] |
Generators of the group modulo torsion |
j |
-99638566682510799/4212580729412 |
j-invariant |
L |
5.3210053872813 |
L(r)(E,1)/r! |
Ω |
0.070467274230419 |
Real period |
R |
4.7193940791203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150en1 84150eo1 |
Quadratic twists by: -3 5 |