Atkin-Lehner |
2- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85910p |
Isogeny class |
Conductor |
85910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
628904155000 = 23 · 54 · 116 · 71 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- 1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3330,61975] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-647:1] |
Generators of the group modulo torsion |
j |
2305199161/355000 |
j-invariant |
L |
9.4180843468775 |
L(r)(E,1)/r! |
Ω |
0.87424909520195 |
Real period |
R |
0.44886541280383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710a1 |
Quadratic twists by: -11 |