Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17934k |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-15698150840626884 = -1 · 22 · 313 · 79 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,62596,-34450] |
[a1,a2,a3,a4,a6] |
Generators |
[123:3025:1] |
Generators of the group modulo torsion |
j |
230560651724759/133432080516 |
j-invariant |
L |
3.9651501230122 |
L(r)(E,1)/r! |
Ω |
0.23422934683751 |
Real period |
R |
0.16277398201922 |
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 |
53802bw1 2562b1 |
Quadratic twists by: -3 -7 |