Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ey |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
9792000 |
Modular degree for the optimal curve |
Δ |
-3.23039705472E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12473555,-17172359053] |
[a1,a2,a3,a4,a6] |
Generators |
[5755:315906:1] |
Generators of the group modulo torsion |
j |
-30148578968103025/453762220032 |
j-invariant |
L |
12.801560272153 |
L(r)(E,1)/r! |
Ω |
0.04013132450371 |
Real period |
R |
4.691054720831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050bl1 84150di1 |
Quadratic twists by: -3 5 |