Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900bh |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-973293750000 = -1 · 24 · 32 · 58 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41458,-3263287] |
[a1,a2,a3,a4,a6] |
j |
-1260895840000/155727 |
j-invariant |
L |
3.0111742391169 |
L(r)(E,1)/r! |
Ω |
0.16728745773821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700bx1 42900d1 |
Quadratic twists by: -3 5 |