Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400be |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-4802902776000000000 = -1 · 212 · 36 · 59 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-334200,-129026000] |
[a1,a2,a3,a4,a6] |
j |
-88478050816/102942875 |
j-invariant |
L |
0.76010831962362 |
L(r)(E,1)/r! |
Ω |
0.09501353997646 |
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 |
50400bt1 100800mp1 5600o1 10080bs1 |
Quadratic twists by: -4 8 -3 5 |