Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87412f |
Isogeny class |
Conductor |
87412 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-345459805112690944 = -1 · 28 · 132 · 418 |
Discriminant |
Eigenvalues |
2- 2 2 -4 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289692,-66246280] |
[a1,a2,a3,a4,a6] |
Generators |
[1102244338520:26588331873555:1151022592] |
Generators of the group modulo torsion |
j |
-2211014608/284089 |
j-invariant |
L |
10.632507872007 |
L(r)(E,1)/r! |
Ω |
0.10215988528394 |
Real period |
R |
17.346188678594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2132b2 |
Quadratic twists by: 41 |