Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540x |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-85901532750000 = -1 · 24 · 310 · 56 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5952,-479671] |
[a1,a2,a3,a4,a6] |
Generators |
[178:-2025:1] |
Generators of the group modulo torsion |
j |
-1999240167424/7364671875 |
j-invariant |
L |
5.8580057779334 |
L(r)(E,1)/r! |
Ω |
0.24893959443586 |
Real period |
R |
0.65366211867226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180c1 |
Quadratic twists by: -3 |