Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520cu |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-20060913600000000 = -1 · 212 · 39 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21597,6704098] |
[a1,a2,a3,a4,a6] |
j |
373092501599/6718359375 |
j-invariant |
L |
2.2937101864711 |
L(r)(E,1)/r! |
Ω |
0.28671377356282 |
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 |
4095i1 21840ch1 |
Quadratic twists by: -4 -3 |