Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ce |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
192367558656000 = 228 · 32 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14721,160479] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:588:1] |
Generators of the group modulo torsion |
j |
1345938541921/733824000 |
j-invariant |
L |
6.9358695158715 |
L(r)(E,1)/r! |
Ω |
0.49348877477932 |
Real period |
R |
3.5136916319191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360et1 2730u1 |
Quadratic twists by: -4 8 |