Atkin-Lehner |
5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275q |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-38203098828125 = -1 · 58 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
1 -1 5- 7- 11+ -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70450,-7232875] |
[a1,a2,a3,a4,a6] |
j |
-98995693389385/97799933 |
j-invariant |
L |
1.465118594136 |
L(r)(E,1)/r! |
Ω |
0.1465118594225 |
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 |
44275b1 |
Quadratic twists by: 5 |