Atkin-Lehner |
2+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68962d |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
2377878722 = 2 · 294 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 -1 0 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-578,4954] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
30223017/3362 |
j-invariant |
L |
2.855598493184 |
L(r)(E,1)/r! |
Ω |
1.4069252899805 |
Real period |
R |
1.014836578026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68962g1 |
Quadratic twists by: 29 |