Atkin-Lehner |
3- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025bi |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
4583040 |
Modular degree for the optimal curve |
Δ |
-1.2895163854017E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 2 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-568758,238781144] |
[a1,a2,a3,a4,a6] |
Generators |
[-633:18589:1] |
Generators of the group modulo torsion |
j |
-1302227927110660096/825290486657091 |
j-invariant |
L |
4.3163703962877 |
L(r)(E,1)/r! |
Ω |
0.20747746911521 |
Real period |
R |
0.47281918790787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998707559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4641c1 |
Quadratic twists by: 5 |