Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bl |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-4.5035480206541E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2988482,3792710081] |
[a1,a2,a3,a4,a6] |
Generators |
[-959:76479:1] |
Generators of the group modulo torsion |
j |
-4049001901026200674009/6177706475520000000 |
j-invariant |
L |
9.2329437301959 |
L(r)(E,1)/r! |
Ω |
0.12372047785113 |
Real period |
R |
0.33315825731868 |
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 |
9690i1 |
Quadratic twists by: -3 |