Atkin-Lehner |
2+ 3+ 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614c |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.5417572879764E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-650418,-71075980] |
[a1,a2,a3,a4,a6] |
Generators |
[855782851:-33644736012:456533] |
Generators of the group modulo torsion |
j |
1546003419461398899/783293851535008 |
j-invariant |
L |
3.8130688673689 |
L(r)(E,1)/r! |
Ω |
0.17736033799405 |
Real period |
R |
10.749497071809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614z2 |
Quadratic twists by: -3 |