Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134k |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8580096 |
Modular degree for the optimal curve |
Δ |
-2422604996842455936 = -1 · 27 · 32 · 73 · 1910 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63534202,194894926612] |
[a1,a2,a3,a4,a6] |
Generators |
[5137:61555:1] |
Generators of the group modulo torsion |
j |
-13487030253127/1152 |
j-invariant |
L |
4.4951600053147 |
L(r)(E,1)/r! |
Ω |
0.19730890820226 |
Real period |
R |
5.6955867005011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134bg2 106134cl1 |
Quadratic twists by: -7 -19 |