Atkin-Lehner |
3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205r |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-139570695 = -1 · 36 · 5 · 11 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167,1046] |
[a1,a2,a3,a4,a6] |
Generators |
[10:12:1] |
Generators of the group modulo torsion |
j |
-702595369/191455 |
j-invariant |
L |
4.3978758914047 |
L(r)(E,1)/r! |
Ω |
1.7478183078444 |
Real period |
R |
2.5162088482919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3245a1 |
Quadratic twists by: -3 |