Atkin-Lehner |
5+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20735f |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
23320550825 = 52 · 114 · 133 · 29 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 11+ 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33144,-2325199] |
[a1,a2,a3,a4,a6] |
Generators |
[379:6102:1] |
Generators of the group modulo torsion |
j |
4026425213233765369/23320550825 |
j-invariant |
L |
2.2022155954804 |
L(r)(E,1)/r! |
Ω |
0.35383439364213 |
Real period |
R |
2.0746198740154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103675f1 |
Quadratic twists by: 5 |