Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325ck |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
816467755078125 = 314 · 58 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 4 6 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27750,1129531] |
[a1,a2,a3,a4,a6] |
j |
8298987520/2867157 |
j-invariant |
L |
2.7693741572371 |
L(r)(E,1)/r! |
Ω |
0.46156237623602 |
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 |
32775p1 98325bs1 |
Quadratic twists by: -3 5 |