Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148d |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2454321408 = -1 · 28 · 3 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,180,2136] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-154:1] [2:50:1] |
Generators of the group modulo torsion |
j |
784/3 |
j-invariant |
L |
6.4837151435954 |
L(r)(E,1)/r! |
Ω |
1.0315689490412 |
Real period |
R |
0.34918305480326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148bu1 71148c1 |
Quadratic twists by: -7 -11 |