Atkin-Lehner |
2- 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892a |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-11023334040128256 = -1 · 28 · 32 · 78 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-836005,294534913] |
[a1,a2,a3,a4,a6] |
Generators |
[768:10241:1] [559:-1254:1] |
Generators of the group modulo torsion |
j |
-43785122676736/7469451 |
j-invariant |
L |
11.066176797302 |
L(r)(E,1)/r! |
Ω |
0.39160207660911 |
Real period |
R |
0.26165489446368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892be1 |
Quadratic twists by: -7 |