Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540w |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-34267315680000 = -1 · 28 · 312 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91992,-10742924] |
[a1,a2,a3,a4,a6] |
j |
-461324374319104/183616875 |
j-invariant |
L |
1.0965076247727 |
L(r)(E,1)/r! |
Ω |
0.13706345495856 |
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 |
24180c1 |
Quadratic twists by: -3 |