Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050r |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-980141360220000000 = -1 · 28 · 310 · 57 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,41958,-47527884] |
[a1,a2,a3,a4,a6] |
Generators |
[729:-19602:1] |
Generators of the group modulo torsion |
j |
717157709351/86048075520 |
j-invariant |
L |
4.5165086278273 |
L(r)(E,1)/r! |
Ω |
0.13174415275407 |
Real period |
R |
0.71421712527485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350cf1 18810bb1 |
Quadratic twists by: -3 5 |