Atkin-Lehner |
2- 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440ch |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
290111673600 = 28 · 39 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60807,5771306] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-54:1] [-233:2700:1] |
Generators of the group modulo torsion |
j |
133234578001744/1554525 |
j-invariant |
L |
12.04582017162 |
L(r)(E,1)/r! |
Ω |
0.88386428605147 |
Real period |
R |
0.85178660641498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480a2 |
Quadratic twists by: -3 |