Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10120g |
Isogeny class |
Conductor |
10120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-71254818800 = -1 · 24 · 52 · 114 · 233 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 11- -7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2743,56767] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-115:1] [-51:253:1] |
Generators of the group modulo torsion |
j |
-142653079805184/4453426175 |
j-invariant |
L |
3.6276250055478 |
L(r)(E,1)/r! |
Ω |
1.0896447153798 |
Real period |
R |
0.069357947487121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20240b1 80960z1 91080t1 50600c1 |
Quadratic twists by: -4 8 -3 5 |