Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cb |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-17374111200000000 = -1 · 211 · 36 · 58 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-430875,109046250] |
[a1,a2,a3,a4,a6] |
Generators |
[375:-450:1] [-225:13950:1] |
Generators of the group modulo torsion |
j |
-15169109490/29791 |
j-invariant |
L |
11.615231989579 |
L(r)(E,1)/r! |
Ω |
0.38971132615449 |
Real period |
R |
0.41395426742645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800cc1 12400l1 111600bk1 |
Quadratic twists by: -4 -3 5 |