Atkin-Lehner |
2- 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65360h |
Isogeny class |
Conductor |
65360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
36738594560 = 28 · 5 · 192 · 433 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2120180,1188955340] |
[a1,a2,a3,a4,a6] |
Generators |
[1609367085969969256806162:10448787553186111834850837:1671983821992220621416] |
Generators of the group modulo torsion |
j |
4117201780564989126736/143510135 |
j-invariant |
L |
11.728719736904 |
L(r)(E,1)/r! |
Ω |
0.61704047003106 |
Real period |
R |
38.016046942752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16340e4 |
Quadratic twists by: -4 |