Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1260i |
Isogeny class |
Conductor |
1260 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-15682947840 = -1 · 28 · 36 · 5 · 75 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 -3 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,288,-5724] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
1.8641073880738 |
L(r)(E,1)/r! |
Ω |
0.62136912935792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5040bp1 20160bk1 140b1 6300q1 |
Quadratic twists by: -4 8 -3 5 |