Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bw |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1308117417750000 = -1 · 24 · 39 · 56 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5378,1748081] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1255:1] |
Generators of the group modulo torsion |
j |
-23592983745241/1794399750000 |
j-invariant |
L |
7.1206166468199 |
L(r)(E,1)/r! |
Ω |
0.39812541420898 |
Real period |
R |
0.74522336353143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960di1 4290o1 64350bm1 |
Quadratic twists by: -4 -3 5 |