Atkin-Lehner |
2- 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440ca |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
40853569536000000 = 226 · 34 · 56 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98320,-6767168] |
[a1,a2,a3,a4,a6] |
j |
25662194421025681/9974016000000 |
j-invariant |
L |
3.3441230985035 |
L(r)(E,1)/r! |
Ω |
0.27867689509121 |
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 |
14430bp1 |
Quadratic twists by: -4 |