Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330w |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-5009160 = -1 · 23 · 3 · 5 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -1 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23,109] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
571787/2280 |
j-invariant |
L |
3.607148970038 |
L(r)(E,1)/r! |
Ω |
1.7313517952626 |
Real period |
R |
1.0417146271127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999734758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330cg1 |
Quadratic twists by: 13 |