Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722dq |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-150357866822856 = -1 · 23 · 39 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12546,-797252] |
[a1,a2,a3,a4,a6] |
Generators |
[1102:1627:8] [179:1544:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
7.4973069391176 |
L(r)(E,1)/r! |
Ω |
0.21886533101282 |
Real period |
R |
2.140958923358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574cd1 106722bv1 9702ce1 |
Quadratic twists by: -3 -7 -11 |