Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fc |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-459856521907200 = -1 · 210 · 38 · 52 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52430,-4721443] |
[a1,a2,a3,a4,a6] |
j |
-874556722890625/25232182272 |
j-invariant |
L |
3.149682593109 |
L(r)(E,1)/r! |
Ω |
0.15748413399363 |
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 |
28050be1 84150cy1 |
Quadratic twists by: -3 5 |