Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800be |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
132131250000 = 24 · 36 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4404383,-3559221012] |
[a1,a2,a3,a4,a6] |
Generators |
[76396048:10364555025:4096] |
Generators of the group modulo torsion |
j |
37795407757392787456/528525 |
j-invariant |
L |
7.7332742856617 |
L(r)(E,1)/r! |
Ω |
0.1042145306742 |
Real period |
R |
12.367556033426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400d1 104400m1 6960j1 |
Quadratic twists by: -4 -3 5 |