Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504z |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1952382976 = -1 · 216 · 313 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 -6 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,2751] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:64:1] [-3:60:1] |
Generators of the group modulo torsion |
j |
-1372 |
j-invariant |
L |
4.6811571262012 |
L(r)(E,1)/r! |
Ω |
1.3591654874748 |
Real period |
R |
1.7220703326207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504bz1 7688m1 61504u1 |
Quadratic twists by: -4 8 -31 |