Atkin-Lehner |
2+ 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870u |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-16050368505600 = -1 · 28 · 313 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2691,-185787] |
[a1,a2,a3,a4,a6] |
j |
2955605685551/22016966400 |
j-invariant |
L |
1.3860011533313 |
L(r)(E,1)/r! |
Ω |
0.34650028833282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960et1 4290ba1 64350dm1 |
Quadratic twists by: -4 -3 5 |