Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cm |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
374673600000 = 29 · 34 · 55 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6245,187137] |
[a1,a2,a3,a4,a6] |
Generators |
[34:103:1] |
Generators of the group modulo torsion |
j |
549704518270369/7646400000 |
j-invariant |
L |
14.352105219568 |
L(r)(E,1)/r! |
Ω |
0.95576405078145 |
Real period |
R |
0.083424269635785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bs1 |
Quadratic twists by: -7 |