Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440ce |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32234630400 = 28 · 37 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6663,209162] |
[a1,a2,a3,a4,a6] |
Generators |
[31:180:1] [-59:630:1] |
Generators of the group modulo torsion |
j |
175293437776/172725 |
j-invariant |
L |
10.80865456065 |
L(r)(E,1)/r! |
Ω |
1.1631496249722 |
Real period |
R |
0.58078590711565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480g2 |
Quadratic twists by: -3 |