Atkin-Lehner |
2- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76636b |
Isogeny class |
Conductor |
76636 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20952 |
Modular degree for the optimal curve |
Δ |
-162161776 = -1 · 24 · 72 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-581,5425] |
[a1,a2,a3,a4,a6] |
Generators |
[16:15:1] |
Generators of the group modulo torsion |
j |
-27665342208/206839 |
j-invariant |
L |
4.3662081304678 |
L(r)(E,1)/r! |
Ω |
1.8268605945617 |
Real period |
R |
2.3900061912858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76636a1 |
Quadratic twists by: -7 |