Atkin-Lehner |
2+ 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558d |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-871906 = -1 · 2 · 73 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 1 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109,-489] |
[a1,a2,a3,a4,a6] |
j |
-423564751/2542 |
j-invariant |
L |
1.4752650328985 |
L(r)(E,1)/r! |
Ω |
0.7376317149017 |
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 |
124558o1 |
Quadratic twists by: -7 |