Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825bp |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.4039035638428E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,243749,-174198727] |
[a1,a2,a3,a4,a6] |
Generators |
[57617852857798438420017:2560702071227586115500023:29695645787007730769] |
Generators of the group modulo torsion |
j |
871257511151/7637109375 |
j-invariant |
L |
8.3050425854408 |
L(r)(E,1)/r! |
Ω |
0.11032576834172 |
Real period |
R |
37.638725339647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965k1 9975e1 |
Quadratic twists by: 5 -7 |