Atkin-Lehner |
2+ 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5478d |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1018119168 = 210 · 32 · 113 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2270,-41776] |
[a1,a2,a3,a4,a6] |
Generators |
[216:2983:1] |
Generators of the group modulo torsion |
j |
1292784788612953/1018119168 |
j-invariant |
L |
3.4214052595731 |
L(r)(E,1)/r! |
Ω |
0.69172989119984 |
Real period |
R |
4.9461578906739 |
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 |
43824r1 16434q1 60258bb1 |
Quadratic twists by: -4 -3 -11 |