Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552r |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
5249041933744996352 = 234 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 3 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-874307,-294722750] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:2254:1] [8673:802816:1] |
Generators of the group modulo torsion |
j |
3130194403161/222298112 |
j-invariant |
L |
7.2041313952223 |
L(r)(E,1)/r! |
Ω |
0.15682793277324 |
Real period |
R |
3.8280443561243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194a1 41552bd1 |
Quadratic twists by: -4 -7 |