Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150fp |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-287556328125000 = -1 · 23 · 39 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19805,-1342803] |
[a1,a2,a3,a4,a6] |
j |
-120670225/40392 |
j-invariant |
L |
1.18720039925 |
L(r)(E,1)/r! |
Ω |
0.1978667335866 |
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 |
28050g1 84150dq1 |
Quadratic twists by: -3 5 |