Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200jl |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-67040380425000000 = -1 · 26 · 3 · 58 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-142708,24154838] |
[a1,a2,a3,a4,a6] |
Generators |
[2497:123462:1] |
Generators of the group modulo torsion |
j |
-12856765000000/2681615217 |
j-invariant |
L |
6.5420653353766 |
L(r)(E,1)/r! |
Ω |
0.33299233054714 |
Real period |
R |
2.8066134794891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200gy1 45600j1 91200gh1 |
Quadratic twists by: -4 8 5 |