Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7029a |
Isogeny class |
Conductor |
7029 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
68891229 = 36 · 113 · 71 |
Discriminant |
Eigenvalues |
0 3- 1 3 11+ 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7272,-238687] |
[a1,a2,a3,a4,a6] |
j |
58338840674304/94501 |
j-invariant |
L |
2.0679789829063 |
L(r)(E,1)/r! |
Ω |
0.51699474572657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464bj1 781b1 77319p1 |
Quadratic twists by: -4 -3 -11 |