Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9280l |
Isogeny class |
Conductor |
9280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
464000000 = 210 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205,-525] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] |
Generators of the group modulo torsion |
j |
934979584/453125 |
j-invariant |
L |
2.578449431031 |
L(r)(E,1)/r! |
Ω |
1.324020962007 |
Real period |
R |
0.64914617543075 |
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 |
9280t1 1160a1 83520bd1 46400r1 |
Quadratic twists by: -4 8 -3 5 |