Atkin-Lehner |
19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10051b |
Isogeny class |
Conductor |
10051 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-2812681891 = -1 · 19 · 236 |
Discriminant |
Eigenvalues |
0 -2 -3 1 -3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,353,230] |
[a1,a2,a3,a4,a6] |
Generators |
[38:264:1] [84:793:1] |
Generators of the group modulo torsion |
j |
32768/19 |
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 |
90459l1 19a3 |
Quadratic twists by: -3 -23 |