Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075x |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
12673828125 = 32 · 59 · 7 · 103 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2283,-42406] |
[a1,a2,a3,a4,a6] |
j |
84258095104/811125 |
j-invariant |
L |
2.764200927983 |
L(r)(E,1)/r! |
Ω |
0.69105023158744 |
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 |
10815a1 |
Quadratic twists by: 5 |