Atkin-Lehner |
3- 11+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23199c |
Isogeny class |
Conductor |
23199 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1262592 |
Modular degree for the optimal curve |
Δ |
-7.5124582777035E+21 |
Discriminant |
Eigenvalues |
1 3- -2 0 11+ -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2114102,-4334893549] |
[a1,a2,a3,a4,a6] |
Generators |
[1120686:418867805:8] |
Generators of the group modulo torsion |
j |
-1044963757444680616550617/7512458277703462435143 |
j-invariant |
L |
5.8427294060149 |
L(r)(E,1)/r! |
Ω |
0.055473629585962 |
Real period |
R |
8.7770373202895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69597f1 |
Quadratic twists by: -3 |