Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400t |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
149884826000000000 = 210 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1284208,560264412] |
[a1,a2,a3,a4,a6] |
Generators |
[1460310:31193792:3375] |
Generators of the group modulo torsion |
j |
995432756/637 |
j-invariant |
L |
9.9428671242862 |
L(r)(E,1)/r! |
Ω |
0.32191479905645 |
Real period |
R |
7.7216604592609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127400ch1 18200l1 |
Quadratic twists by: 5 -7 |