Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2856d |
Isogeny class |
Conductor |
2856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-9870336 = -1 · 210 · 34 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,-144] |
[a1,a2,a3,a4,a6] |
j |
415292/9639 |
j-invariant |
L |
2.2245878297377 |
L(r)(E,1)/r! |
Ω |
1.1122939148688 |
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 |
5712c1 22848s1 8568l1 71400ch1 |
Quadratic twists by: -4 8 -3 5 |