Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650cm |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-298593750000 = -1 · 24 · 3 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,162,26292] |
[a1,a2,a3,a4,a6] |
Generators |
[62:494:1] |
Generators of the group modulo torsion |
j |
30080231/19110000 |
j-invariant |
L |
8.1129182003364 |
L(r)(E,1)/r! |
Ω |
0.75694232824662 |
Real period |
R |
1.339751705247 |
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 |
109200dr1 40950x1 2730f1 95550hn1 |
Quadratic twists by: -4 -3 5 -7 |