Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608df |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-28934232222990336 = -1 · 223 · 3 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11- 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65505,-10443873] |
[a1,a2,a3,a4,a6] |
j |
-118580635373689/110375336544 |
j-invariant |
L |
4.023796300791 |
L(r)(E,1)/r! |
Ω |
0.14370701185268 |
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 |
124608e1 31152l1 |
Quadratic twists by: -4 8 |