Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450cm |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2062195200 = -1 · 29 · 36 · 52 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185,-2343] |
[a1,a2,a3,a4,a6] |
Generators |
[23:60:1] |
Generators of the group modulo torsion |
j |
-38226865/113152 |
j-invariant |
L |
9.1110029338281 |
L(r)(E,1)/r! |
Ω |
0.59890212606998 |
Real period |
R |
0.84515784248966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050c1 99450bu1 |
Quadratic twists by: -3 5 |