Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720j |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1070681103360 = 210 · 33 · 5 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1523560,724339552] |
[a1,a2,a3,a4,a6] |
j |
381946668836716524964/1045587015 |
j-invariant |
L |
2.3032312888259 |
L(r)(E,1)/r! |
Ω |
0.57580782252087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30360n4 |
Quadratic twists by: -4 |