Atkin-Lehner |
2- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112064m |
Isogeny class |
Conductor |
112064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-1950810112 = -1 · 216 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,2128] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1216:1] |
Generators of the group modulo torsion |
j |
-143748/29767 |
j-invariant |
L |
7.4002957777728 |
L(r)(E,1)/r! |
Ω |
1.2051463892703 |
Real period |
R |
3.0702891491701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112064h1 28016c1 |
Quadratic twists by: -4 8 |