Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bl |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-5.64254208E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,328937,-353899219] |
[a1,a2,a3,a4,a6] |
j |
251907898698209879/3611226931200000 |
j-invariant |
L |
1.9423295601596 |
L(r)(E,1)/r! |
Ω |
0.097116478007981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53550br1 3570m1 124950hs1 |
Quadratic twists by: -3 5 -7 |