Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
46480m |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92800 |
Modular degree for the optimal curve |
Δ |
-617254400000 = -1 · 212 · 55 · 7 · 832 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16261,804461] |
[a1,a2,a3,a4,a6] |
Generators |
[44:415:1] |
Generators of the group modulo torsion |
j |
-116100000354304/150696875 |
j-invariant |
L |
3.6494624240127 |
L(r)(E,1)/r! |
Ω |
0.91204743090617 |
Real period |
R |
2.0006977161153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2905b1 |
Quadratic twists by: -4 |