Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720bb |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-146555530110000 = -1 · 24 · 32 · 54 · 11 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9875,-697500] |
[a1,a2,a3,a4,a6] |
Generators |
[766080:-24727130:729] |
Generators of the group modulo torsion |
j |
-6656700550752256/9159720631875 |
j-invariant |
L |
9.3055630816005 |
L(r)(E,1)/r! |
Ω |
0.22796806207007 |
Real period |
R |
10.204897779122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360z1 |
Quadratic twists by: -4 |