Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384t |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
181812862393344 = 210 · 39 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46762567491,3892204367126350] |
[a1,a2,a3,a4,a6] |
Generators |
[1507465936952020914:-1252729308624208690:12057825180491] |
Generators of the group modulo torsion |
j |
15149254835477430732977727429892/243555039 |
j-invariant |
L |
4.5945201187856 |
L(r)(E,1)/r! |
Ω |
0.085758546153871 |
Real period |
R |
26.787535120072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671332 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37128bd4 |
Quadratic twists by: -3 |