Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bz |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
37819608750 = 2 · 36 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81279,8939335] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-223:1] |
Generators of the group modulo torsion |
j |
237487154804983/151250 |
j-invariant |
L |
4.4581719745131 |
L(r)(E,1)/r! |
Ω |
0.95287711429086 |
Real period |
R |
0.58483039256312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390y2 48510be2 |
Quadratic twists by: -3 -7 |