Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945h |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
503465625 = 36 · 55 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- -2 4 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129489,17967248] |
[a1,a2,a3,a4,a6] |
Generators |
[212:-6:1] |
Generators of the group modulo torsion |
j |
329379602649536529/690625 |
j-invariant |
L |
5.3611326833224 |
L(r)(E,1)/r! |
Ω |
1.0771157296006 |
Real period |
R |
0.9954608471478 |
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 |
1105a1 49725r1 129285s1 |
Quadratic twists by: -3 5 13 |