Atkin-Lehner |
2- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91234w |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1355904 |
Modular degree for the optimal curve |
Δ |
-355093632013978 = -1 · 2 · 118 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2186251,1244769397] |
[a1,a2,a3,a4,a6] |
Generators |
[7262:18387:8] |
Generators of the group modulo torsion |
j |
-5391158596374177/1656538 |
j-invariant |
L |
7.8631595986762 |
L(r)(E,1)/r! |
Ω |
0.43281686066451 |
Real period |
R |
1.5139504931804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91234d1 |
Quadratic twists by: -11 |