Atkin-Lehner |
2+ 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870h |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4015440 = 24 · 33 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14079,646525] |
[a1,a2,a3,a4,a6] |
Generators |
[59:107:1] |
Generators of the group modulo torsion |
j |
11431223764109163/148720 |
j-invariant |
L |
4.2728665216535 |
L(r)(E,1)/r! |
Ω |
1.7484300818276 |
Real period |
R |
1.2219151815288 |
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 |
102960ct2 12870bh2 64350cq2 |
Quadratic twists by: -4 -3 5 |