Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832p |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-10583322624 = -1 · 212 · 35 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301,5243] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:84:1] |
Generators of the group modulo torsion |
j |
-738763264/2583819 |
j-invariant |
L |
5.8706455099821 |
L(r)(E,1)/r! |
Ω |
1.1234996374513 |
Real period |
R |
0.17417734473862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20832c1 41664cn1 62496br1 |
Quadratic twists by: -4 8 -3 |