Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150w |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-1317804778125000 = -1 · 23 · 33 · 58 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16617,1935541] |
[a1,a2,a3,a4,a6] |
j |
-48114111915/124947416 |
j-invariant |
L |
2.5579026751619 |
L(r)(E,1)/r! |
Ω |
0.42631712769937 |
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 |
84150eq1 84150ed1 |
Quadratic twists by: -3 5 |