Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150eg |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-708836005800000000 = -1 · 29 · 315 · 58 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-181355,-50198853] |
[a1,a2,a3,a4,a6] |
j |
-57911193276769/62229772800 |
j-invariant |
L |
3.9946194955946 |
L(r)(E,1)/r! |
Ω |
0.11096165626806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050f1 22230s1 |
Quadratic twists by: -3 5 |