Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432g |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-11764728686592 = -1 · 211 · 35 · 73 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6848,275808] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1148:1] |
Generators of the group modulo torsion |
j |
-50565500750/16747803 |
j-invariant |
L |
4.6865171288111 |
L(r)(E,1)/r! |
Ω |
0.67517511867767 |
Real period |
R |
0.28921614730955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48216s1 96432l1 |
Quadratic twists by: -4 -7 |