Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134bc |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
181721864830943808 = 26 · 33 · 76 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141881,1559324] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:4402:1] [-213:4810:1] |
Generators of the group modulo torsion |
j |
57066625/32832 |
j-invariant |
L |
10.241313780647 |
L(r)(E,1)/r! |
Ω |
0.27304171880846 |
Real period |
R |
1.5628432509729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166b1 5586u1 |
Quadratic twists by: -7 -19 |