Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bf |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-1943472960000000 = -1 · 212 · 33 · 57 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-352408,80520806] |
[a1,a2,a3,a4,a6] |
Generators |
[265:2267:1] |
Generators of the group modulo torsion |
j |
-28639966935712240849/11499840000000 |
j-invariant |
L |
5.6122359673488 |
L(r)(E,1)/r! |
Ω |
0.4593037009553 |
Real period |
R |
0.29092878113107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770cr1 |
Quadratic twists by: 13 |