Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892j |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-17581075024128 = -1 · 28 · 3 · 78 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6452,-32360] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-686:1] [534:12466:1] |
Generators of the group modulo torsion |
j |
986078000/583737 |
j-invariant |
L |
10.090556782311 |
L(r)(E,1)/r! |
Ω |
0.40490026937127 |
Real period |
R |
4.1535153009132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556j2 |
Quadratic twists by: -7 |