Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945m |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
5182677303941025 = 311 · 52 · 79 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-448065,115501000] |
[a1,a2,a3,a4,a6] |
Generators |
[2950:3025:8] |
Generators of the group modulo torsion |
j |
338171833063/176175 |
j-invariant |
L |
7.6283057929253 |
L(r)(E,1)/r! |
Ω |
0.42489578748228 |
Real period |
R |
4.4883392692381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315j1 63945ba1 |
Quadratic twists by: -3 -7 |