Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cp |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-2795955978240 = -1 · 215 · 310 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-843840,298639872] |
[a1,a2,a3,a4,a6] |
Generators |
[66330:-486:125] |
Generators of the group modulo torsion |
j |
-56136684668636449/2361960 |
j-invariant |
L |
6.1799311198623 |
L(r)(E,1)/r! |
Ω |
0.59896188747411 |
Real period |
R |
2.5794342045886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670y1 69360dh1 |
Quadratic twists by: -4 17 |