Atkin-Lehner |
2+ 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870v |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-444075540480000000 = -1 · 222 · 36 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,81261,-30817355] |
[a1,a2,a3,a4,a6] |
j |
81402860249195471/609157120000000 |
j-invariant |
L |
2.0682991797766 |
L(r)(E,1)/r! |
Ω |
0.14773565569833 |
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 |
102960ex1 1430f1 64350dr1 |
Quadratic twists by: -4 -3 5 |