Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
20328u |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-50705307147264 = -1 · 210 · 3 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5768,-296320] |
[a1,a2,a3,a4,a6] |
Generators |
[9599620633988:-117500779950255:79064065088] |
Generators of the group modulo torsion |
j |
8788/21 |
j-invariant |
L |
7.167684613542 |
L(r)(E,1)/r! |
Ω |
0.32743838806608 |
Real period |
R |
21.890178045024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40656o1 60984o1 20328g1 |
Quadratic twists by: -4 -3 -11 |