Atkin-Lehner |
2- 3- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
72270bb |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1580544 |
Modular degree for the optimal curve |
Δ |
-27264020194224000 = -1 · 27 · 313 · 53 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3272018,-2277289519] |
[a1,a2,a3,a4,a6] |
j |
-5314263834524925061081/37399204656000 |
j-invariant |
L |
3.1430659451995 |
L(r)(E,1)/r! |
Ω |
0.056126177444796 |
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 |
24090i1 |
Quadratic twists by: -3 |