Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gr |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-37488825000000 = -1 · 26 · 36 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11+ -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114680,-14922053] |
[a1,a2,a3,a4,a6] |
j |
-585727549785/131648 |
j-invariant |
L |
4.6697601533095 |
L(r)(E,1)/r! |
Ω |
0.12971556090207 |
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 |
9350q1 84150cb1 |
Quadratic twists by: -3 5 |