Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832l |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
10124352 = 26 · 36 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] [-3:12:1] |
Generators of the group modulo torsion |
j |
277167808/158193 |
j-invariant |
L |
7.6017245909595 |
L(r)(E,1)/r! |
Ω |
1.9634269576238 |
Real period |
R |
1.2905538386074 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20832i1 41664cf1 62496bg1 |
Quadratic twists by: -4 8 -3 |