Atkin-Lehner |
2+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9430a |
Isogeny class |
Conductor |
9430 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-75440 = -1 · 24 · 5 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 0 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[5:7:1] |
Generators of the group modulo torsion |
j |
-4826809/75440 |
j-invariant |
L |
3.60057196085 |
L(r)(E,1)/r! |
Ω |
1.4774066723652 |
Real period |
R |
1.2185446391296 |
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 |
75440r1 84870bi1 47150k1 |
Quadratic twists by: -4 -3 5 |