Atkin-Lehner |
2- 5+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102350q |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
1177025000000 = 26 · 58 · 232 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24188,-1449008] |
[a1,a2,a3,a4,a6] |
j |
100162392144121/75329600 |
j-invariant |
L |
4.5940982173679 |
L(r)(E,1)/r! |
Ω |
0.3828415605357 |
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 |
20470e1 |
Quadratic twists by: 5 |