Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672cc |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-7207584104448 = -1 · 215 · 35 · 74 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 3 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3360,-104076] |
[a1,a2,a3,a4,a6] |
Generators |
[42:336:1] |
Generators of the group modulo torsion |
j |
1023887723039/1759664088 |
j-invariant |
L |
6.7142080549937 |
L(r)(E,1)/r! |
Ω |
0.39138693640927 |
Real period |
R |
0.21443638649171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834m1 |
Quadratic twists by: -4 |