Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968bl |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3830400 |
Modular degree for the optimal curve |
Δ |
-120442537820616192 = -1 · 29 · 36 · 199 |
Discriminant |
Eigenvalues |
2- 3- 2 3 6 -5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10432539,-12969806562] |
[a1,a2,a3,a4,a6] |
Generators |
[77133865560593411057718034128822558445:3826972422629390216030636282561505630262:15300282319745955504570312577625125] |
Generators of the group modulo torsion |
j |
-1042590744 |
j-invariant |
L |
9.4430712393384 |
L(r)(E,1)/r! |
Ω |
0.042002199152061 |
Real period |
R |
56.205814397668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968bm1 11552e1 103968j1 |
Quadratic twists by: -4 -3 -19 |