Atkin-Lehner |
2- 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900r |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-1557270000 = -1 · 24 · 32 · 54 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,142,1737] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] [-4:33:1] |
Generators of the group modulo torsion |
j |
31443200/155727 |
j-invariant |
L |
7.5303842434021 |
L(r)(E,1)/r! |
Ω |
1.0819059268413 |
Real period |
R |
0.12889434894783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700bn1 42900bf1 |
Quadratic twists by: -3 5 |