Atkin-Lehner |
2- 3+ 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240bb |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-1436457369600000 = -1 · 222 · 35 · 55 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16400,-1640000] |
[a1,a2,a3,a4,a6] |
j |
119088226227599/350697600000 |
j-invariant |
L |
2.4565106481529 |
L(r)(E,1)/r! |
Ω |
0.24565099964521 |
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 |
13530y1 |
Quadratic twists by: -4 |