Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720n |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1340697600 = -1 · 210 · 32 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,120,-1728] |
[a1,a2,a3,a4,a6] |
Generators |
[12:36:1] [14:50:1] |
Generators of the group modulo torsion |
j |
185073116/1309275 |
j-invariant |
L |
8.3443852413213 |
L(r)(E,1)/r! |
Ω |
0.75887045622764 |
Real period |
R |
1.3744745847008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bg2 |
Quadratic twists by: -4 |