Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15168m |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-25476415488 = -1 · 214 · 39 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 -1 -5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3185,-68559] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1468:1] |
Generators of the group modulo torsion |
j |
-218156637904/1554957 |
j-invariant |
L |
2.8268790754371 |
L(r)(E,1)/r! |
Ω |
0.31761129481217 |
Real period |
R |
4.4502181150529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168g1 3792g1 45504cc1 |
Quadratic twists by: -4 8 -3 |