Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gh |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.94517562428E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3616500,-2655655000] |
[a1,a2,a3,a4,a6] |
Generators |
[316169040033405671919098617598441:74264192979677755894402011489778497:5723704352690119217222813069] |
Generators of the group modulo torsion |
j |
-17939139239680/66706983 |
j-invariant |
L |
5.7408623322138 |
L(r)(E,1)/r! |
Ω |
0.054726890522453 |
Real period |
R |
52.450105217091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800ph1 6300u1 33600be1 100800er1 |
Quadratic twists by: -4 8 -3 5 |