Atkin-Lehner |
2- 5- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
127280l |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
7005491200 = 212 · 52 · 37 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- -3 1 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1205,15997] |
[a1,a2,a3,a4,a6] |
Generators |
[44:215:1] |
Generators of the group modulo torsion |
j |
47280848896/1710325 |
j-invariant |
L |
5.7220929898637 |
L(r)(E,1)/r! |
Ω |
1.3182322328663 |
Real period |
R |
1.0851830602177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997128774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7955c1 |
Quadratic twists by: -4 |