Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600s |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
10512000000 = 210 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,-7612] |
[a1,a2,a3,a4,a6] |
Generators |
[32:18:1] |
Generators of the group modulo torsion |
j |
3650692/657 |
j-invariant |
L |
9.5394155668518 |
L(r)(E,1)/r! |
Ω |
0.90644439601991 |
Real period |
R |
2.6309985508268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43800w1 3504d1 |
Quadratic twists by: -4 5 |