Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1282450391040000 = -1 · 230 · 3 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31585,-2774017] |
[a1,a2,a3,a4,a6] |
Generators |
[10767:187460:27] |
Generators of the group modulo torsion |
j |
-13293525831769/4892160000 |
j-invariant |
L |
7.8109161782551 |
L(r)(E,1)/r! |
Ω |
0.17582671781811 |
Real period |
R |
5.5529929410078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fk1 2730b1 |
Quadratic twists by: -4 8 |