Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5355p |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1152575954775 = -1 · 318 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1629,57928] |
[a1,a2,a3,a4,a6] |
Generators |
[12:194:1] |
Generators of the group modulo torsion |
j |
-656008386769/1581036975 |
j-invariant |
L |
4.9735355072901 |
L(r)(E,1)/r! |
Ω |
0.76834490671427 |
Real period |
R |
3.2365253311555 |
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 |
85680fe1 1785c1 26775w1 37485r1 |
Quadratic twists by: -4 -3 5 -7 |