Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600y |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-823191055027200 = -1 · 210 · 318 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17792,-1029052] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1944:1] |
Generators of the group modulo torsion |
j |
24329525937500/32155900587 |
j-invariant |
L |
8.0942054800571 |
L(r)(E,1)/r! |
Ω |
0.26771061842195 |
Real period |
R |
0.419929254358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800b1 99600h1 |
Quadratic twists by: -4 5 |