Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bm |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4139384832 = 217 · 32 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4993,-134111] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:3:1] |
Generators of the group modulo torsion |
j |
105047437250/31581 |
j-invariant |
L |
2.7685455994415 |
L(r)(E,1)/r! |
Ω |
0.56794953769815 |
Real period |
R |
2.4373165358062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248ba2 15312i2 |
Quadratic twists by: -4 8 |