Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400ch |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-688905000000000 = -1 · 29 · 39 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16875,1518750] |
[a1,a2,a3,a4,a6] |
j |
-5400/7 |
j-invariant |
L |
1.8396959253986 |
L(r)(E,1)/r! |
Ω |
0.4599239815256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400l1 100800n1 50400f1 50400r1 |
Quadratic twists by: -4 8 -3 5 |