Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800t |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-2.0555834792555E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4926783,-4742438562] |
[a1,a2,a3,a4,a6] |
Generators |
[46362:3213693:8] |
Generators of the group modulo torsion |
j |
-52902243995675736064/8222333917021875 |
j-invariant |
L |
7.1121914694022 |
L(r)(E,1)/r! |
Ω |
0.050237369199508 |
Real period |
R |
5.8988222637932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997694 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360r1 |
Quadratic twists by: 5 |