Atkin-Lehner |
2+ 3- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690m |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
15748826112000 = 213 · 36 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81234,-8889260] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:125:1] |
Generators of the group modulo torsion |
j |
81322871837737249/21603328000 |
j-invariant |
L |
4.0501832589708 |
L(r)(E,1)/r! |
Ω |
0.28279502682122 |
Real period |
R |
2.3869958329559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998897664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410m1 |
Quadratic twists by: -3 |