Atkin-Lehner |
3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325c |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.8805425799577E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55370292,158461984241] |
[a1,a2,a3,a4,a6] |
Generators |
[1181187928:-6212732265337:15813251] |
Generators of the group modulo torsion |
j |
61043979729784877307/61146535140625 |
j-invariant |
L |
7.8796689122064 |
L(r)(E,1)/r! |
Ω |
0.1216794738314 |
Real period |
R |
16.189396506938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998956273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325j2 23265h2 |
Quadratic twists by: -3 5 |