Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bt |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
106762131243982368 = 25 · 314 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-241236,42870064] |
[a1,a2,a3,a4,a6] |
Generators |
[212575:3750577:1331] |
Generators of the group modulo torsion |
j |
3053190217/209952 |
j-invariant |
L |
6.2908840756046 |
L(r)(E,1)/r! |
Ω |
0.32819707468833 |
Real period |
R |
9.58400392466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574br1 106722dm1 106722fr1 |
Quadratic twists by: -3 -7 -11 |