Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416ca |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-14327491756032 = -1 · 215 · 37 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6036,24208] |
[a1,a2,a3,a4,a6] |
Generators |
[96:1220:1] |
Generators of the group modulo torsion |
j |
1018108216/599781 |
j-invariant |
L |
7.3531160755738 |
L(r)(E,1)/r! |
Ω |
0.42757225704847 |
Real period |
R |
4.2993411957904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999342 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416db3 26208k2 17472bb4 |
Quadratic twists by: -4 8 -3 |