Atkin-Lehner |
3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
1743a |
Isogeny class |
Conductor |
1743 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
29294601 = 3 · 76 · 83 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 6 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119,-480] |
[a1,a2,a3,a4,a6] |
j |
188822850553/29294601 |
j-invariant |
L |
2.188471821096 |
L(r)(E,1)/r! |
Ω |
1.458981214064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27888bh1 111552bx1 5229c1 43575p1 |
Quadratic twists by: -4 8 -3 5 |