Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
64824k |
Isogeny class |
Conductor |
64824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
283540176 = 24 · 38 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-927,10530] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:135:1] |
Generators of the group modulo torsion |
j |
5512027076608/17721261 |
j-invariant |
L |
7.7199034392075 |
L(r)(E,1)/r! |
Ω |
1.7414986837017 |
Real period |
R |
1.1082269987729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129648d1 |
Quadratic twists by: -4 |