Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ci |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
28624516397568000 = 212 · 39 · 53 · 75 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18909747,-31650215886] |
[a1,a2,a3,a4,a6] |
j |
9275335480470938787/355047875 |
j-invariant |
L |
4.3438955670915 |
L(r)(E,1)/r! |
Ω |
0.072398259581705 |
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 |
4095d1 65520by1 |
Quadratic twists by: -4 -3 |