Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7029b |
Isogeny class |
Conductor |
7029 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
5124141 = 38 · 11 · 71 |
Discriminant |
Eigenvalues |
0 3- -1 -3 11+ -5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,67] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] [1:4:1] |
Generators of the group modulo torsion |
j |
16777216/7029 |
j-invariant |
L |
4.2274426011936 |
L(r)(E,1)/r! |
Ω |
2.1917001362342 |
Real period |
R |
0.48221042323537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464bl1 2343d1 77319q1 |
Quadratic twists by: -4 -3 -11 |