Atkin-Lehner |
2+ 3+ 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648d |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67584 |
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 |
[-797343620031270:-187388907554016:44947138578875] |
Generators of the group modulo torsion |
j |
5512027076608/17721261 |
j-invariant |
L |
9.0664413312156 |
L(r)(E,1)/r! |
Ω |
0.86531560103231 |
Real period |
R |
20.955224491514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64824k1 |
Quadratic twists by: -4 |