Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
100928t |
Isogeny class |
Conductor |
100928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-30682112 = -1 · 210 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 1 2 -1 3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,-293] |
[a1,a2,a3,a4,a6] |
Generators |
[99:988:1] |
Generators of the group modulo torsion |
j |
-5619712/29963 |
j-invariant |
L |
8.613605813117 |
L(r)(E,1)/r! |
Ω |
0.86905871836228 |
Real period |
R |
2.4778549532908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100928g1 25232k1 |
Quadratic twists by: -4 8 |