Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5661h |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-859379659101 = -1 · 36 · 17 · 375 |
Discriminant |
Eigenvalues |
1 3- -3 -1 5 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1536,-49879] |
[a1,a2,a3,a4,a6] |
Generators |
[64:301:1] |
Generators of the group modulo torsion |
j |
-549957165057/1178847269 |
j-invariant |
L |
3.7510762699904 |
L(r)(E,1)/r! |
Ω |
0.35732648506175 |
Real period |
R |
0.52488080604243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576bm1 629d1 96237i1 |
Quadratic twists by: -4 -3 17 |