Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645c |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-29645 = -1 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5,6] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] |
Generators of the group modulo torsion |
j |
2079/5 |
j-invariant |
L |
5.195612607047 |
L(r)(E,1)/r! |
Ω |
2.5965456662695 |
Real period |
R |
2.0009710110401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29645k1 29645g1 |
Quadratic twists by: -7 -11 |