Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760ba |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
-3.5130371274948E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4487073,8242348754] |
[a1,a2,a3,a4,a6] |
Generators |
[-857:61380:1] |
Generators of the group modulo torsion |
j |
53535963578515589936/188241444160171875 |
j-invariant |
L |
8.3994506881008 |
L(r)(E,1)/r! |
Ω |
0.082355999467642 |
Real period |
R |
0.42495642673761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920u2 |
Quadratic twists by: -3 |