Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9546j |
Isogeny class |
Conductor |
9546 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-25430544 = -1 · 24 · 33 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,17337] |
[a1,a2,a3,a4,a6] |
Generators |
[4:109:1] |
Generators of the group modulo torsion |
j |
-227081481823729/25430544 |
j-invariant |
L |
7.5306410612592 |
L(r)(E,1)/r! |
Ω |
2.0367277085309 |
Real period |
R |
0.15405923411929 |
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 |
76368g1 28638g1 |
Quadratic twists by: -4 -3 |