Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286cr |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1290774972338224128 = -1 · 210 · 310 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,147064,50129867] |
[a1,a2,a3,a4,a6] |
Generators |
[79:7849:1] |
Generators of the group modulo torsion |
j |
4101378352343/15049939968 |
j-invariant |
L |
6.4123274273341 |
L(r)(E,1)/r! |
Ω |
0.19320726652889 |
Real period |
R |
0.82972130688149 |
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 |
6762n1 2898o1 |
Quadratic twists by: -3 -7 |