Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832q |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2100740544 = -1 · 26 · 32 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,258,-1440] |
[a1,a2,a3,a4,a6] |
Generators |
[33:210:1] |
Generators of the group modulo torsion |
j |
29560954688/32824071 |
j-invariant |
L |
7.5548361801927 |
L(r)(E,1)/r! |
Ω |
0.79221715707052 |
Real period |
R |
1.5893866373982 |
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 |
20832d1 41664cu2 62496bs1 |
Quadratic twists by: -4 8 -3 |