Atkin-Lehner |
2+ 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384h |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
487193616 = 24 · 39 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -4 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,999] |
[a1,a2,a3,a4,a6] |
Generators |
[15:27:1] |
Generators of the group modulo torsion |
j |
5038848/1547 |
j-invariant |
L |
5.5864758294901 |
L(r)(E,1)/r! |
Ω |
1.5360392923318 |
Real period |
R |
0.90923387529875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111384bs1 |
Quadratic twists by: -3 |