Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bb |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
901120 |
Modular degree for the optimal curve |
Δ |
-327600145786208256 = -1 · 218 · 311 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 5 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-334497,-79279839] |
[a1,a2,a3,a4,a6] |
Generators |
[1139:31876:1] |
Generators of the group modulo torsion |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
4.4985640029028 |
L(r)(E,1)/r! |
Ω |
0.098810967321369 |
Real period |
R |
4.5526970586879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424dp1 741c1 |
Quadratic twists by: -4 8 |