Atkin-Lehner |
2- 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bx |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-1.3122104200936E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9064291,13905334437] |
[a1,a2,a3,a4,a6] |
Generators |
[7421:696156:1] |
Generators of the group modulo torsion |
j |
112979005552983862858103/180001429368115993344 |
j-invariant |
L |
7.3482070919382 |
L(r)(E,1)/r! |
Ω |
0.070909131655457 |
Real period |
R |
0.092525448219096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422h1 |
Quadratic twists by: -3 |