Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600cm |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3881779200000000 = -1 · 220 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-330208,-73206412] |
[a1,a2,a3,a4,a6] |
j |
-2488672890625/2426112 |
j-invariant |
L |
3.5846739970682 |
L(r)(E,1)/r! |
Ω |
0.09957427769634 |
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 |
1950r1 62400ft1 46800ep1 15600bg1 |
Quadratic twists by: -4 8 -3 5 |