Atkin-Lehner |
2- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11186d |
Isogeny class |
Conductor |
11186 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1.5089341164409E+19 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-622755,-29441599] |
[a1,a2,a3,a4,a6] |
Generators |
[927:13354:1] |
Generators of the group modulo torsion |
j |
26710094528889557753521/15089341164408799232 |
j-invariant |
L |
7.187634307804 |
L(r)(E,1)/r! |
Ω |
0.18315863211817 |
Real period |
R |
1.0900742500703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89488g1 100674j1 78302g1 |
Quadratic twists by: -4 -3 -7 |