Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350d |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-10665725625000 = -1 · 23 · 310 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1318500,-583281000] |
[a1,a2,a3,a4,a6] |
Generators |
[355095:16872912:125] |
Generators of the group modulo torsion |
j |
-56136684668636449/2361960 |
j-invariant |
L |
2.4328962419355 |
L(r)(E,1)/r! |
Ω |
0.070444887759086 |
Real period |
R |
8.6340411608249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670y1 43350bk1 |
Quadratic twists by: 5 17 |