Atkin-Lehner |
19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10051b |
Isogeny class |
Conductor |
10051 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1015378162651 = -1 · 193 · 236 |
Discriminant |
Eigenvalues |
0 -2 -3 1 -3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4937,140415] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:264:1] [15:264:1] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
3.2509475987095 |
L(r)(E,1)/r! |
Ω |
0.86055825181833 |
Real period |
R |
0.94442984883344 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459l2 19a1 |
Quadratic twists by: -3 -23 |