Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645k |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11088 |
Modular degree for the optimal curve |
Δ |
-3487704605 = -1 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,236,-2535] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2407:1] |
Generators of the group modulo torsion |
j |
2079/5 |
j-invariant |
L |
5.8173080447767 |
L(r)(E,1)/r! |
Ω |
0.72758463360012 |
Real period |
R |
2.6651231926071 |
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 |
29645c1 29645l1 |
Quadratic twists by: -7 -11 |