Atkin-Lehner |
3- 7- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557q |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
578880 |
Modular degree for the optimal curve |
Δ |
-62118819 = -1 · 36 · 72 · 37 · 47 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-702966,-226855647] |
[a1,a2,a3,a4,a6] |
Generators |
[1780686855841906788766444934010:71507656817451510915765421921393:882869663827384579914849000] |
Generators of the group modulo torsion |
j |
-52698608089310199808/85211 |
j-invariant |
L |
8.110067707627 |
L(r)(E,1)/r! |
Ω |
0.082439619562929 |
Real period |
R |
49.18792536055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12173e1 |
Quadratic twists by: -3 |