Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bh |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
21955940352 = 212 · 38 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,42050] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-54:1] [-47:216:1] [-25:290:1] |
Generators of the group modulo torsion |
j |
454756609/7353 |
j-invariant |
L |
11.755895587955 |
L(r)(E,1)/r! |
Ω |
1.2094142664671 |
Real period |
R |
2.4300803938089 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7353p1 39216n1 |
Quadratic twists by: -4 -3 |