Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17952h |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
458806911552 = 26 · 33 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3374,-69168] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:84:1] |
Generators of the group modulo torsion |
j |
66390766775488/7168857993 |
j-invariant |
L |
4.9891386780753 |
L(r)(E,1)/r! |
Ω |
0.63078466177884 |
Real period |
R |
2.6364722016785 |
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 |
17952b1 35904bp1 53856w1 |
Quadratic twists by: -4 8 -3 |