Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050cj |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
-79575117187500 = -1 · 22 · 33 · 510 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44180,3610947] |
[a1,a2,a3,a4,a6] |
Generators |
[113:171:1] |
Generators of the group modulo torsion |
j |
-36168277275/301796 |
j-invariant |
L |
11.484531454608 |
L(r)(E,1)/r! |
Ω |
0.61289762988719 |
Real period |
R |
1.5615075698716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050f2 94050g1 |
Quadratic twists by: -3 5 |