Atkin-Lehner |
2- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366d |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
-37256771072 = -1 · 29 · 193 · 1032 |
Discriminant |
Eigenvalues |
2- -1 0 -5 0 -3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,762,4867] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-161:1] [7:-107:1] |
Generators of the group modulo torsion |
j |
7133328125/5431808 |
j-invariant |
L |
11.04031148159 |
L(r)(E,1)/r! |
Ω |
0.73972834949491 |
Real period |
R |
0.4145782964021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74366b1 |
Quadratic twists by: -19 |