Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3050a |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
76250000 = 24 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -6 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:16:1] [-4:11:1] |
Generators of the group modulo torsion |
j |
13997521/4880 |
j-invariant |
L |
2.351787837267 |
L(r)(E,1)/r! |
Ω |
1.4670745027111 |
Real period |
R |
0.80152297409583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24400w1 97600g1 27450br1 610c1 |
Quadratic twists by: -4 8 -3 5 |