Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74052s |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
2.8755347349165E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1888689,-576606503] |
[a1,a2,a3,a4,a6] |
Generators |
[-589:18207:1] |
Generators of the group modulo torsion |
j |
297999868672/115008417 |
j-invariant |
L |
8.9425719934135 |
L(r)(E,1)/r! |
Ω |
0.13306602938873 |
Real period |
R |
2.2401339731757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684i1 74052j1 |
Quadratic twists by: -3 -11 |