Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992k |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1339834341888 = -1 · 29 · 33 · 7 · 614 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,776,-54808] |
[a1,a2,a3,a4,a6] |
Generators |
[266:753:8] |
Generators of the group modulo torsion |
j |
100804318264/2616863949 |
j-invariant |
L |
6.8772524214814 |
L(r)(E,1)/r! |
Ω |
0.41458937268431 |
Real period |
R |
5.5293686352445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40992m2 81984r3 122976bj2 |
Quadratic twists by: -4 8 -3 |