Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cl |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-1761177600000000 = -1 · 218 · 33 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9599,1989599] |
[a1,a2,a3,a4,a6] |
Generators |
[155:2688:1] |
Generators of the group modulo torsion |
j |
373092501599/6718359375 |
j-invariant |
L |
7.7211673769959 |
L(r)(E,1)/r! |
Ω |
0.3511512237284 |
Real period |
R |
1.8323462127428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dy1 1365b1 |
Quadratic twists by: -4 8 |