Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gq |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2484486675000000 = -1 · 26 · 312 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6305,-2404303] |
[a1,a2,a3,a4,a6] |
j |
-97325545/8724672 |
j-invariant |
L |
2.4280759933892 |
L(r)(E,1)/r! |
Ω |
0.20233966751256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050bw1 84150bw1 |
Quadratic twists by: -3 5 |