Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368h |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-5343819264 = -1 · 29 · 33 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 2 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-531,5878] |
[a1,a2,a3,a4,a6] |
Generators |
[17:42:1] |
Generators of the group modulo torsion |
j |
-1197770328/386561 |
j-invariant |
L |
8.0930045612958 |
L(r)(E,1)/r! |
Ω |
1.2832976798035 |
Real period |
R |
0.31532062625338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368b1 92736dq1 46368bi1 |
Quadratic twists by: -4 8 -3 |