Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gl |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
3473210843048403072 = 27 · 38 · 710 · 114 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7898540,8545643439] |
[a1,a2,a3,a4,a6] |
Generators |
[1613:-771:1] |
Generators of the group modulo torsion |
j |
18075297625/1152 |
j-invariant |
L |
11.459576555729 |
L(r)(E,1)/r! |
Ω |
0.23747510874493 |
Real period |
R |
3.4468504368651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574k1 106722fp1 106722cx1 |
Quadratic twists by: -3 -7 -11 |