Atkin-Lehner |
2- 3+ 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bx |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
612 |
Product of Tamagawa factors cp |
deg |
1860480 |
Modular degree for the optimal curve |
Δ |
-11619119185920000 = -1 · 217 · 32 · 54 · 232 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 -3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1086938,435747431] |
[a1,a2,a3,a4,a6] |
Generators |
[-1155:12907:1] [-775:28907:1] |
Generators of the group modulo torsion |
j |
-227226006805535199025/18590590697472 |
j-invariant |
L |
13.10861265217 |
L(r)(E,1)/r! |
Ω |
0.38402208611467 |
Real period |
R |
0.055776223540425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950bc1 |
Quadratic twists by: 5 |