Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749c |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.7864539792502E+28 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-953059003,-9321584116080] |
[a1,a2,a3,a4,a6] |
Generators |
[-1119833484331413033321835759632:-75216541143773021981384507621264:56619800902374598197283437] |
Generators of the group modulo torsion |
j |
54041446637752012667730657/10084066985275712875369 |
j-invariant |
L |
5.3712700188435 |
L(r)(E,1)/r! |
Ω |
0.027522401996061 |
Real period |
R |
39.031985794441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5159d2 |
Quadratic twists by: -11 |