Atkin-Lehner |
2- 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
17484c |
Isogeny class |
Conductor |
17484 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-5240526946416 = -1 · 24 · 314 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 3 2 -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3478,-75651] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1269:1] |
Generators of the group modulo torsion |
j |
290715098300672/327532934151 |
j-invariant |
L |
5.371815259941 |
L(r)(E,1)/r! |
Ω |
0.4123891222317 |
Real period |
R |
0.46521727818539 |
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 |
69936t1 52452d1 |
Quadratic twists by: -4 -3 |