Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600gk |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
259416045000000000 = 29 · 32 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-500208,-134111412] |
[a1,a2,a3,a4,a6] |
Generators |
[-1811469:2827104:4913] |
Generators of the group modulo torsion |
j |
480200/9 |
j-invariant |
L |
8.9325590668845 |
L(r)(E,1)/r! |
Ω |
0.17972401057693 |
Real period |
R |
8.2835890178824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600ei1 117600bj1 117600fa1 |
Quadratic twists by: -4 5 -7 |