Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cx |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
7.4593410561844E+33 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62274552384,-4302577711730124] |
[a1,a2,a3,a4,a6] |
Generators |
[15051939192285384444:-18891000701647039046250:9318005566507] |
Generators of the group modulo torsion |
j |
55425212630542527476751037873/15479334185118626660294016 |
j-invariant |
L |
5.7843472209202 |
L(r)(E,1)/r! |
Ω |
0.0097587793010968 |
Real period |
R |
29.636633038132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999755 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8526r3 9744l3 |
Quadratic twists by: -4 -7 |