Atkin-Lehner |
2- 3+ 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118z |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-19873544420072448 = -1 · 210 · 39 · 76 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94070,-12989051] |
[a1,a2,a3,a4,a6] |
Generators |
[3574:44857:8] |
Generators of the group modulo torsion |
j |
-4677152425702875/1009680659456 |
j-invariant |
L |
9.4226762374714 |
L(r)(E,1)/r! |
Ω |
0.13474825473966 |
Real period |
R |
3.496400103863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118d1 |
Quadratic twists by: -3 |