Atkin-Lehner |
2- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
75118j |
Isogeny class |
Conductor |
75118 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
49896 |
Modular degree for the optimal curve |
Δ |
84084384952 = 23 · 236 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 1 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4243,-105815] |
[a1,a2,a3,a4,a6] |
Generators |
[-8382:10213:216] |
Generators of the group modulo torsion |
j |
57066625/568 |
j-invariant |
L |
12.113783051939 |
L(r)(E,1)/r! |
Ω |
0.59189104938513 |
Real period |
R |
6.8220793139362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142d1 |
Quadratic twists by: -23 |