Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17052a |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
12994442496 = 28 · 36 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6141,187209] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:602:1] [-33:594:1] |
Generators of the group modulo torsion |
j |
41675382784/21141 |
j-invariant |
L |
5.7919448633516 |
L(r)(E,1)/r! |
Ω |
1.2440859492695 |
Real period |
R |
0.25864347621609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208cc1 51156i1 17052l1 |
Quadratic twists by: -4 -3 -7 |