Atkin-Lehner |
3+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
77163a |
Isogeny class |
Conductor |
77163 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-58002578307 = -1 · 33 · 176 · 89 |
Discriminant |
Eigenvalues |
0 3+ 0 -2 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-963,16652] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:144:1] |
Generators of the group modulo torsion |
j |
-4096000/2403 |
j-invariant |
L |
2.3263204469021 |
L(r)(E,1)/r! |
Ω |
1.0319623105744 |
Real period |
R |
1.1271344051242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
267a1 |
Quadratic twists by: 17 |