Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bh |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
35193156279497433 = 36 · 76 · 177 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87621,4287464] |
[a1,a2,a3,a4,a6] |
Generators |
[519530:3530181:10648] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
10.859490072552 |
L(r)(E,1)/r! |
Ω |
0.32752057356878 |
Real period |
R |
8.2891663585786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14161b1 2601j1 7497o1 |
Quadratic twists by: -3 -7 17 |