Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
27816g |
Isogeny class |
Conductor |
27816 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-322280961940794288 = -1 · 24 · 3 · 194 · 616 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54661,-26885040] |
[a1,a2,a3,a4,a6] |
Generators |
[7898:251503:8] |
Generators of the group modulo torsion |
j |
1128829894502955008/20142560121299643 |
j-invariant |
L |
5.0505799276627 |
L(r)(E,1)/r! |
Ω |
0.14867930776637 |
Real period |
R |
2.8308018577804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55632f1 83448s1 |
Quadratic twists by: -4 -3 |