Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115632bd |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.9565184360563E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2048115,1313657138] |
[a1,a2,a3,a4,a6] |
Generators |
[727:-14454:1] |
Generators of the group modulo torsion |
j |
-318199322523552625/65523406557312 |
j-invariant |
L |
7.3077692890639 |
L(r)(E,1)/r! |
Ω |
0.17132859794463 |
Real period |
R |
1.3329227772828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14454c2 38544h2 |
Quadratic twists by: -4 -3 |