Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328p |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5064618200576E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64622752,273613760620] |
[a1,a2,a3,a4,a6] |
Generators |
[-1299921107235041095331117:-503743859585333367630328410:826650870788810440619] |
Generators of the group modulo torsion |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
5.3992528251289 |
L(r)(E,1)/r! |
Ω |
0.065253777332154 |
Real period |
R |
41.371189882585 |
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 |
40656ba3 60984y3 1848b4 |
Quadratic twists by: -4 -3 -11 |