Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cl |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-302974503380606850 = -1 · 2 · 3 · 52 · 138 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-209310,45298365] |
[a1,a2,a3,a4,a6] |
Generators |
[12390:462945:8] |
Generators of the group modulo torsion |
j |
-1243217046721/371414850 |
j-invariant |
L |
9.3739443511751 |
L(r)(E,1)/r! |
Ω |
0.29055731229504 |
Real period |
R |
5.376991011386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330i1 |
Quadratic twists by: 13 |