Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960ec |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-31704431616000000 = -1 · 216 · 39 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-262947,-52600286] |
[a1,a2,a3,a4,a6] |
Generators |
[753:13280:1] |
Generators of the group modulo torsion |
j |
-673350049820449/10617750000 |
j-invariant |
L |
8.9371085549935 |
L(r)(E,1)/r! |
Ω |
0.1053163146326 |
Real period |
R |
3.5358199229215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870z1 34320bz1 |
Quadratic twists by: -4 -3 |