Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600bv |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-47895300000000 = -1 · 28 · 38 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 3 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7292,-233588] |
[a1,a2,a3,a4,a6] |
Generators |
[3845:17172:125] |
Generators of the group modulo torsion |
j |
428750000/478953 |
j-invariant |
L |
3.8618058693655 |
L(r)(E,1)/r! |
Ω |
0.34315921078493 |
Real period |
R |
5.6268427970913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21900i1 87600cp1 |
Quadratic twists by: -4 5 |