Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800bh |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-45139680000000 = -1 · 211 · 38 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27408,-1785312] |
[a1,a2,a3,a4,a6] |
j |
-71157653138/1410615 |
j-invariant |
L |
2.9648906826135 |
L(r)(E,1)/r! |
Ω |
0.18530566766334 |
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 |
51600a1 77400k1 5160a1 |
Quadratic twists by: -4 -3 5 |