Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3050k |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
127926272000 = 224 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- -4 -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6833,-219569] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:48:1] |
Generators of the group modulo torsion |
j |
282261687531173/1023410176 |
j-invariant |
L |
5.7438118880964 |
L(r)(E,1)/r! |
Ω |
0.52521976935027 |
Real period |
R |
0.91133468046494 |
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 |
24400bb1 97600bo1 27450bb1 3050c1 |
Quadratic twists by: -4 8 -3 5 |