Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200w |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-547714379520000 = -1 · 211 · 38 · 54 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14008,-1289588] |
[a1,a2,a3,a4,a6] |
Generators |
[337:5670:1] |
Generators of the group modulo torsion |
j |
-237505212050/427901859 |
j-invariant |
L |
4.4447196596366 |
L(r)(E,1)/r! |
Ω |
0.20696676056898 |
Real period |
R |
1.7896270104088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400cz1 46200co1 |
Quadratic twists by: -4 5 |