Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bx |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2547139529932800 = -1 · 221 · 3 · 52 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5400,2434800] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2530:1] |
Generators of the group modulo torsion |
j |
-4252315368601/621860236800 |
j-invariant |
L |
5.8627513854742 |
L(r)(E,1)/r! |
Ω |
0.37393403519809 |
Real period |
R |
0.43551586597116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590m2 |
Quadratic twists by: -4 |