Atkin-Lehner |
2- 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478ca |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1046304 |
Modular degree for the optimal curve |
Δ |
-719911899997416 = -1 · 23 · 36 · 710 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19158,-782433] |
[a1,a2,a3,a4,a6] |
Generators |
[43:329:1] |
Generators of the group modulo torsion |
j |
2752912463/2548584 |
j-invariant |
L |
4.911903888841 |
L(r)(E,1)/r! |
Ω |
0.27788258227932 |
Real period |
R |
2.9460307694304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478ch1 |
Quadratic twists by: -7 |