Atkin-Lehner |
2- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
67850r |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
-1.4240381796352E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 5 -1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-865705,359496297] |
[a1,a2,a3,a4,a6] |
Generators |
[759:-12180:1] |
Generators of the group modulo torsion |
j |
-4592117514716855577/911384434966528 |
j-invariant |
L |
10.282535015061 |
L(r)(E,1)/r! |
Ω |
0.21335919343809 |
Real period |
R |
0.17461427860211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2714b1 |
Quadratic twists by: 5 |