Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896bk |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-4020240384 = -1 · 221 · 33 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 3 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,372,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[0:36:1] |
Generators of the group modulo torsion |
j |
804357/568 |
j-invariant |
L |
6.4059782926282 |
L(r)(E,1)/r! |
Ω |
0.88134389554104 |
Real period |
R |
1.8171051972561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896d1 10224j1 40896bh1 |
Quadratic twists by: -4 8 -3 |