Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bn |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
3626723362500 = 22 · 35 · 55 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111018,14228008] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1260:1] |
Generators of the group modulo torsion |
j |
441168165400018447/10573537500 |
j-invariant |
L |
6.214599731037 |
L(r)(E,1)/r! |
Ω |
0.73040632497493 |
Real period |
R |
0.17016828882447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730d1 |
Quadratic twists by: -7 |