Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280ct |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-2.820863384617E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1288788,-2492517584] |
[a1,a2,a3,a4,a6] |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
3.9418286034656 |
L(r)(E,1)/r! |
Ω |
0.070389798308437 |
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 |
89280fh1 2790w1 29760ba1 |
Quadratic twists by: -4 8 -3 |