Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550k |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-16411572000 = -1 · 25 · 34 · 53 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 0 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5830,-173900] |
[a1,a2,a3,a4,a6] |
Generators |
[115:775:1] |
Generators of the group modulo torsion |
j |
-175362106452317/131292576 |
j-invariant |
L |
2.4961185876328 |
L(r)(E,1)/r! |
Ω |
0.27316384753209 |
Real period |
R |
0.76148393787101 |
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 |
44400di1 16650cq1 5550bn1 |
Quadratic twists by: -4 -3 5 |