Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
9270z |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-371660754948480 = -1 · 27 · 312 · 5 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11642,1048889] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-977:1] |
Generators of the group modulo torsion |
j |
-239355822010969/509822709120 |
j-invariant |
L |
6.1296059678349 |
L(r)(E,1)/r! |
Ω |
0.47660192896154 |
Real period |
R |
0.30621571245454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160bq1 3090d1 46350o1 |
Quadratic twists by: -4 -3 5 |