Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400cm |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-68894720000 = -1 · 217 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 1 5- 0 5 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-15937] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1160:1] |
Generators of the group modulo torsion |
j |
-781250/841 |
j-invariant |
L |
7.3269222466608 |
L(r)(E,1)/r! |
Ω |
0.42616535997169 |
Real period |
R |
1.432722861213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400bd1 11600n1 46400bo1 |
Quadratic twists by: -4 8 5 |