Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768dw |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-942352704 = -1 · 26 · 34 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-344,2754] |
[a1,a2,a3,a4,a6] |
Generators |
[25:102:1] |
Generators of the group modulo torsion |
j |
-70547387968/14724261 |
j-invariant |
L |
11.319626394044 |
L(r)(E,1)/r! |
Ω |
1.502344863229 |
Real period |
R |
0.62788659235134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768cw1 60384j1 |
Quadratic twists by: -4 8 |