Atkin-Lehner |
2- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760m |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-5675371846518702080 = -1 · 237 · 5 · 173 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -2 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-589296,-208262720] |
[a1,a2,a3,a4,a6] |
Generators |
[3332479602:210439281646:804357] |
Generators of the group modulo torsion |
j |
-5525415997957216369/1385588829716480 |
j-invariant |
L |
5.0848509753639 |
L(r)(E,1)/r! |
Ω |
0.085034488418583 |
Real period |
R |
14.949378392761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970e1 |
Quadratic twists by: -4 |