Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768cq |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2171180630016 = -1 · 214 · 36 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -1 6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4305,-128367] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4131:1] |
Generators of the group modulo torsion |
j |
-538671647824/132518349 |
j-invariant |
L |
7.5986545105497 |
L(r)(E,1)/r! |
Ω |
0.29091887654719 |
Real period |
R |
2.1766246902282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768bl1 30192bk1 |
Quadratic twists by: -4 8 |