Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48360c |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1165255020334080 = -1 · 210 · 32 · 5 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20240,-1218788] |
[a1,a2,a3,a4,a6] |
Generators |
[480945:-29848588:125] |
Generators of the group modulo torsion |
j |
895434498699836/1137944355795 |
j-invariant |
L |
5.9925181631135 |
L(r)(E,1)/r! |
Ω |
0.26071899304925 |
Real period |
R |
11.492293087309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720u3 |
Quadratic twists by: -4 |