Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960bc |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1192941217382400000 = -1 · 226 · 39 · 55 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44172,-52670736] |
[a1,a2,a3,a4,a6] |
Generators |
[468:5400:1] |
Generators of the group modulo torsion |
j |
-1847284083/231200000 |
j-invariant |
L |
5.6599987099637 |
L(r)(E,1)/r! |
Ω |
0.12143496050959 |
Real period |
R |
2.3304650844359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960dy1 1530a1 48960i1 |
Quadratic twists by: -4 8 -3 |