Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800g |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-357304800000000 = -1 · 211 · 3 · 58 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84008,9444012] |
[a1,a2,a3,a4,a6] |
j |
-2048994722882/11165775 |
j-invariant |
L |
3.2456108119346 |
L(r)(E,1)/r! |
Ω |
0.54093513532245 |
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 |
63600u1 95400z1 6360j1 |
Quadratic twists by: -4 -3 5 |