Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344el |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-5037565280878592 = -1 · 215 · 73 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-443297,-113802337] |
[a1,a2,a3,a4,a6] |
Generators |
[7397:633556:1] |
Generators of the group modulo torsion |
j |
-294007990367262536/153734292019 |
j-invariant |
L |
11.106074947704 |
L(r)(E,1)/r! |
Ω |
0.092508610645438 |
Real period |
R |
2.8584404682512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344cl1 56672l1 |
Quadratic twists by: -4 8 |