Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490x |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-31482000 = -1 · 24 · 33 · 53 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,5345] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-2:1] |
Generators of the group modulo torsion |
j |
-23298085122481/31482000 |
j-invariant |
L |
6.9255682475326 |
L(r)(E,1)/r! |
Ω |
2.0791346855757 |
Real period |
R |
0.2775821553545 |
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 |
52470e1 87450z1 |
Quadratic twists by: -3 5 |