Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304dz |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1141718602752 = 210 · 36 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2613,-1989] |
[a1,a2,a3,a4,a6] |
j |
16384000/9477 |
j-invariant |
L |
4.3882516075748 |
L(r)(E,1)/r! |
Ω |
0.73137539806285 |
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 |
122304fw1 7644a1 2496a1 |
Quadratic twists by: -4 8 -7 |