Atkin-Lehner |
2+ 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880i |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-36734333846814720 = -1 · 227 · 312 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -1 3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-796545,274050945] |
[a1,a2,a3,a4,a6] |
j |
-213213786511688929/140130362880 |
j-invariant |
L |
1.448236119125 |
L(r)(E,1)/r! |
Ω |
0.36205906649758 |
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 |
98880cd1 3090i1 |
Quadratic twists by: -4 8 |