Atkin-Lehner |
2+ 5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350b |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-7.709582860672E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7172001,7404256148] |
[a1,a2,a3,a4,a6] |
Generators |
[1387:-11894:1] |
Generators of the group modulo torsion |
j |
-2611106725526040107521/4934133030830080 |
j-invariant |
L |
2.1243905518373 |
L(r)(E,1)/r! |
Ω |
0.19350522952603 |
Real period |
R |
1.3723082342741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999670865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870o1 |
Quadratic twists by: 5 |