Atkin-Lehner |
3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24909a |
Isogeny class |
Conductor |
24909 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
680960 |
Modular degree for the optimal curve |
Δ |
-1119974458132722051 = -1 · 38 · 199 · 232 |
Discriminant |
Eigenvalues |
2 3+ -3 -3 -3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-715622,-238269403] |
[a1,a2,a3,a4,a6] |
Generators |
[35466:2314463:8] |
Generators of the group modulo torsion |
j |
-125600960512/3470769 |
j-invariant |
L |
5.4540630057937 |
L(r)(E,1)/r! |
Ω |
0.081939026939367 |
Real period |
R |
8.3203071990189 |
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 |
74727k1 24909h1 |
Quadratic twists by: -3 -19 |