Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050cj |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2089944400896000000 = 216 · 32 · 56 · 112 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8761663,9981265817] |
[a1,a2,a3,a4,a6] |
j |
4760617885089919932457/133756441657344 |
j-invariant |
L |
7.7707591306271 |
L(r)(E,1)/r! |
Ω |
0.24283622280326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2442c2 |
Quadratic twists by: 5 |