Atkin-Lehner |
2- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
46144v |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-330760192 = -1 · 216 · 72 · 103 |
Discriminant |
Eigenvalues |
2- -2 2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,-833] |
[a1,a2,a3,a4,a6] |
j |
415292/5047 |
j-invariant |
L |
1.6823461279292 |
L(r)(E,1)/r! |
Ω |
0.84117306405417 |
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 |
46144a1 11536d1 |
Quadratic twists by: -4 8 |