Atkin-Lehner |
3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945d |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
63840 |
Modular degree for the optimal curve |
Δ |
-28383717914296875 = -1 · 39 · 57 · 13 · 175 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-64962,-10311010] |
[a1,a2,a3,a4,a6] |
Generators |
[348:3037:1] |
Generators of the group modulo torsion |
j |
-1540318675894272/1442042265625 |
j-invariant |
L |
4.6228592733018 |
L(r)(E,1)/r! |
Ω |
0.14398412430741 |
Real period |
R |
2.2933377925907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9945b1 49725b1 129285c1 |
Quadratic twists by: -3 5 13 |