Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9540d |
Isogeny class |
Conductor |
9540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-6181920000 = -1 · 28 · 36 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-2306] |
[a1,a2,a3,a4,a6] |
j |
35969456/33125 |
j-invariant |
L |
2.9396887168716 |
L(r)(E,1)/r! |
Ω |
0.73492217921791 |
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 |
38160bs1 1060a1 47700f1 |
Quadratic twists by: -4 -3 5 |