Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400g |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-959563067155200 = -1 · 28 · 320 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1185,1490290] |
[a1,a2,a3,a4,a6] |
j |
39443120/205667667 |
j-invariant |
L |
1.5597020048891 |
L(r)(E,1)/r! |
Ω |
0.38992550227723 |
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 |
25800be1 77400bx1 |
Quadratic twists by: -3 5 |