Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
124002f |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
17772863422464 = 217 · 39 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 2 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36774,-2697548] |
[a1,a2,a3,a4,a6] |
Generators |
[-6988:8867:64] |
Generators of the group modulo torsion |
j |
1095139030201/3538944 |
j-invariant |
L |
6.7304543174532 |
L(r)(E,1)/r! |
Ω |
0.34482453668168 |
Real period |
R |
4.8796224226727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000227525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41334g1 124002r1 |
Quadratic twists by: -3 -83 |