Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600s |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1287781250000 = 24 · 59 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51283,4486812] |
[a1,a2,a3,a4,a6] |
Generators |
[393:6699:1] |
Generators of the group modulo torsion |
j |
59664010307584/5151125 |
j-invariant |
L |
9.2845793037114 |
L(r)(E,1)/r! |
Ω |
0.82126039389236 |
Real period |
R |
2.8263201819912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200d1 8120b1 |
Quadratic twists by: -4 5 |