Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280q |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-232674097190400000 = -1 · 212 · 39 · 55 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43308,22946976] |
[a1,a2,a3,a4,a6] |
j |
111423515328/2886003125 |
j-invariant |
L |
4.7099666822936 |
L(r)(E,1)/r! |
Ω |
0.23549833192005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280x1 44640b1 89280e1 |
Quadratic twists by: -4 8 -3 |