Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892c |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-824875336336128 = -1 · 28 · 3 · 76 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16987,-1093455] |
[a1,a2,a3,a4,a6] |
Generators |
[84488:1272383:512] |
Generators of the group modulo torsion |
j |
17997824000/27387987 |
j-invariant |
L |
4.1128511527337 |
L(r)(E,1)/r! |
Ω |
0.26542556840099 |
Real period |
R |
7.7476544707716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999255398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2508a2 |
Quadratic twists by: -7 |